What is the Least Common Multiple of 39138 and 39157?

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 of 39138 and 39157 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39138 and 39157, than apply into the LCM equation.

GCF(39138,39157) = 1
LCM(39138,39157) = ( 39138 × 39157) / 1
LCM(39138,39157) = 1532526666 / 1
LCM(39138,39157) = 1532526666

Least Common Multiple (LCM) of 39138 and 39157 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39138 and 39157. First we will calculate the prime factors of 39138 and 39157.

Prime Factorization of 39138

Prime Factorization of 39157

Now multiplying the highest exponent prime factors to calculate the LCM of 39138 and 39157.

LCM(39138,39157) = 2¹ × 3¹ × 11¹ × 593¹ × 39157¹
LCM(39138,39157) = 1532526666