find the lcm of this set of numbers.
125 and 75

Question

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [], "new_concepts": [ "Least Common Multiple", "Prime Factorization" ], "current_concepts": [ "Least Common Multiple", "Prime Factorization" ] } ## Find prime factorizations $$ \begin{aligned} 125 &= 5^3 \ 75 &= 3 \times 25 = 3 \times 5^2 \end{aligned} $$ ## Determine highest powers $$ \begin{aligned} \text{Power of } 3 &: 3^1 \ \text{Power of } 5 &: 5^3 \end{aligned} $$ ## Calculate the LCM $$ \text{LCM} = 3^1 \times 5^3 = 3 \times 125 = 375 $$ 375 { "subject": "Mathematics", "question_type": "Free Response", "knowledge_point": [ "Mathematics", "Algebra", "Least Common Multiple" ] }

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Question

Explanation:

Find prime factorizations

Determine highest powers

Calculate the LCM

Answer: