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Mathematics

ScanSolve AI Answer

Answer

18

Step-by-step solution

4 steps
  1. Recall the relationship between the Lowest Common Multiple (LCM), Greatest Common Factor (GCF), and two numbers.

    For two numbers, aa and bb, the product of the numbers is equal to the product of their LCM and GCF.

    a×b=LCM(a,b)×GCF(a,b)a \times b = \text{LCM}(a, b) \times \text{GCF}(a, b)
  2. Substitute the given values into the formula.

    Given:
    LCM=72\text{LCM} = 72
    GCF=6\text{GCF} = 6
    One number (aa) =24= 24
    Let the second number be bb.

    24×b=72×624 \times b = 72 \times 6
  3. Calculate the product of LCM and GCF.

    24×b=43224 \times b = 432
  4. Solve for bb by dividing both sides by 24.

    b=43224b = \frac{432}{24} b=18b = 18

    The second number is 18.

    1818
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