What is the Least Common Multiple of 3144 and 3157?

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 3144 and 3157 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3144 and 3157, than apply into the LCM equation.

GCF(3144,3157) = 1
LCM(3144,3157) = ( 3144 × 3157) / 1
LCM(3144,3157) = 9925608 / 1
LCM(3144,3157) = 9925608

Least Common Multiple (LCM) of 3144 and 3157 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3144 and 3157. First we will calculate the prime factors of 3144 and 3157.

Prime Factorization of 3144

Prime Factorization of 3157

Now multiplying the highest exponent prime factors to calculate the LCM of 3144 and 3157.

LCM(3144,3157) = 2³ × 3¹ × 131¹ × 7¹ × 11¹ × 41¹
LCM(3144,3157) = 9925608