What is the Least Common Multiple of 7657 and 7676?

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 7657 and 7676 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7657 and 7676, than apply into the LCM equation.

GCF(7657,7676) = 19
LCM(7657,7676) = ( 7657 × 7676) / 19
LCM(7657,7676) = 58775132 / 19
LCM(7657,7676) = 3093428

Least Common Multiple (LCM) of 7657 and 7676 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7657 and 7676. First we will calculate the prime factors of 7657 and 7676.

Prime Factorization of 7657

Prime Factorization of 7676

Now multiplying the highest exponent prime factors to calculate the LCM of 7657 and 7676.

LCM(7657,7676) = 13¹ × 19¹ × 31¹ × 2² × 101¹
LCM(7657,7676) = 3093428