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Details for problem "lcm derived via prime factorization"

Quickname: 3333

Suitable for K-12 grades: Grade 5 Grade 6 Grade 7

Elementary School, Primary School, Junior High School, Middle School, High School.


The lcm is to be derived for two given numbers.


The lcm is to be derived for two given numbers. (Example for this math problem)


Problems are presented for the detailed calculation of the least common multiple (lcm). The number space from which the lcm comes is adjustable. The number of problems can also be selected.

In the task, first the determination of the prime factorization for each number is required, then the derivation of the lcm. In the solution this is shown step by step.

If desired, the first problem can be output with an example solution.

Topics: Arithmetic Divisibility

Tags: Division Multiplication Prime Rules

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Customization options for this problem

Possible values
Number of problems
1, 2, 3, 4, 5, 6, 7, 8, 9, 10
Number range of product
50, 80, 100, 200, 500, 1000
Sample problem
Yes, No

Similar problems

Name and direct link
Also as a simple mixed gcd & lcm problem using lists of divisors and multiples
For two given numbers, the gcd and lcm are determined by comparing lists of multiples or divisors

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