What is the Least Common Multiple of 7716 and 7725?

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 7716 and 7725 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7716 and 7725, than apply into the LCM equation.

GCF(7716,7725) = 3
LCM(7716,7725) = ( 7716 × 7725) / 3
LCM(7716,7725) = 59606100 / 3
LCM(7716,7725) = 19868700

Least Common Multiple (LCM) of 7716 and 7725 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7716 and 7725. First we will calculate the prime factors of 7716 and 7725.

Prime Factorization of 7716

Prime Factorization of 7725

Now multiplying the highest exponent prime factors to calculate the LCM of 7716 and 7725.

LCM(7716,7725) = 2² × 3¹ × 643¹ × 5² × 103¹
LCM(7716,7725) = 19868700