LCM (Least Common Multiple)

LCM (Least Common Multiple)

How to find the LCM (Least Common Multiple) of the given numbers or the given terms: examples and their solutions.

Example 1

Find the LCM (Least Common Multiple) of 18 and 60.

Find the prime factorization of 18 and 60.

Write the factors of 18 and 60 like this.

The factors that are in either numbers are
2, 2, 3, 3, and 5.

Then the LCM is 2⋅2⋅3⋅3⋅5.

See the difference between the LCM and the GCF.

Example 2

Find the LCM (Least Common Multiple) of 6a^3c and 2a^2bc^2.

Write the factors of 6a3c and 2a2bc2 like this.

The factors that are in either monomial are
2, 3, a, a, a, b, c, and c.

Then the LCM is 2⋅3⋅aaabcc.