GCF and LCM Calculator Logo

What is the Least Common Multiple of 123 and 137?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 123 and 137 is 16851.

LCM(123,137) = 16851

LCM Calculator and
and

Least Common Multiple of 123 and 137 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 123 and 137, than apply into the LCM equation.

GCF(123,137) = 1
LCM(123,137) = ( 123 × 137) / 1
LCM(123,137) = 16851 / 1
LCM(123,137) = 16851

Least Common Multiple (LCM) of 123 and 137 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 123 and 137. First we will calculate the prime factors of 123 and 137.

Prime Factorization of 123

Prime factors of 123 are 3, 41. Prime factorization of 123 in exponential form is:

123 = 31 × 411

Prime Factorization of 137

Prime factors of 137 are 137. Prime factorization of 137 in exponential form is:

137 = 1371

Now multiplying the highest exponent prime factors to calculate the LCM of 123 and 137.

LCM(123,137) = 31 × 411 × 1371
LCM(123,137) = 16851