What is the Least Common Multiple of 9657 and 9672?

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 9657 and 9672 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9657 and 9672, than apply into the LCM equation.

GCF(9657,9672) = 3
LCM(9657,9672) = ( 9657 × 9672) / 3
LCM(9657,9672) = 93402504 / 3
LCM(9657,9672) = 31134168

Least Common Multiple (LCM) of 9657 and 9672 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9657 and 9672. First we will calculate the prime factors of 9657 and 9672.

Prime Factorization of 9657

Prime Factorization of 9672

Now multiplying the highest exponent prime factors to calculate the LCM of 9657 and 9672.

LCM(9657,9672) = 3² × 29¹ × 37¹ × 2³ × 13¹ × 31¹
LCM(9657,9672) = 31134168