What is the Least Common Multiple of 7676 and 7694?

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 7676 and 7694 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7676 and 7694, than apply into the LCM equation.

GCF(7676,7694) = 2
LCM(7676,7694) = ( 7676 × 7694) / 2
LCM(7676,7694) = 59059144 / 2
LCM(7676,7694) = 29529572

Least Common Multiple (LCM) of 7676 and 7694 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7676 and 7694. First we will calculate the prime factors of 7676 and 7694.

Prime Factorization of 7676

Prime Factorization of 7694

Now multiplying the highest exponent prime factors to calculate the LCM of 7676 and 7694.

LCM(7676,7694) = 2² × 19¹ × 101¹ × 3847¹
LCM(7676,7694) = 29529572