Question

is the statement below always,sometimes, or never true? give at least two examples to support your reasoning. The LCM of two numbers is the product of the two numbers. Discuss your conclusion with a partner

Answer 1

sometimes

Explanation:

It is sometimes true. This is only true if the 2 numbers have a GCF of 1. For example, we have 2 and 4 or 15 and 25. Their LCMs are 4 and 75 respectively. However, 2 * 4 ≠ 4 and 15 * 25 ≠ 75. An example where this is true could be 5 and 7, whose LCM and product is 35. Hope this helps!