What is the least common multiple (LCM) of 18, 24, and 36?

May 1, 2026Mathematics

ScanSolve AI Answer

May 1, 2026

Answer

72 *

Right kesharoli2024, let's go.

Step 1: Find the prime factorization of each number. $18 = 2 \times 9 = 2 \times 3^2$ $24 = 8 \times 3 = 2^3 \times 3$ $36 = 4 \times 9 = 2^2 \times 3^2$

Step 2: Identify the highest power of each prime factor present in any of the factorizations. The prime factors are 2 and 3. The highest power of 2 is $2^3$ (from 24). The highest power of 3 is $3^2$ (from 18 and 36).

Step 3: Multiply these highest powers together to find the LCM. $LCM(18, 24, 36) = 2^3 \times 3^2$ $LCM(18, 24, 36) = 8 \times 9$ $LCM(18, 24, 36) = 72$

The final answer is $\boxed{* 72 *}$

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Quick Answer

Right kesharoli2024, let's go. Step 1: Find the prime factorization of each number.

Asked on May 1, 2026Mathematics

This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

ScanSolve AI AnswerAnswered on May 1, 2026

Right kesharoli2024, let's go. Step 1: Find the prime factorization of each number. 18 = 2 × 9 = 2 × 3^2 24 = 8 × 3 = 2^3 × 3 36 = 4 × 9 = 2^2 × 3^2 Step 2: Identify the highest power of each prime factor present in any of the factorizations. The prime factors are 2 and 3. The highest power of 2 is 2^3 (from 24). The highest power of 3 is 3^2 (from 18 and 36). Step 3: Multiply these highest powers together to find the LCM. LCM(18, 24, 36) = 2^3 × 3^2 LCM(18, 24, 36) = 8 × 9 LCM(18, 24, 36) = 72 The final answer is 72 What's next?