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

May 1, 2026Mathematics

ScanSolve AI Answer

Answer

\text{} 72 \text{}

3 steps

Find the prime factorization of each number.
$18 = 2 \times 9 = 2 \times 3^2$ $24 = 8 \times 3 = 2^3 \times 3$ $36 = 4 \times 9 = 2^2 \times 3^2$
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).
Multiply these highest powers together to find the LCM.
$\text{LCM}(18, 24, 36) = 2^3 \times 3^2$ $\text{LCM}(18, 24, 36) = 8 \times 9$ $\text{LCM}(18, 24, 36) = 72$
The final answer is $\text{} 72 \text{}$

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