What is the Least Common Multiple of 79916 and 79934?

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 79916 and 79934 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79916 and 79934, than apply into the LCM equation.

GCF(79916,79934) = 2
LCM(79916,79934) = ( 79916 × 79934) / 2
LCM(79916,79934) = 6388005544 / 2
LCM(79916,79934) = 3194002772

Least Common Multiple (LCM) of 79916 and 79934 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79916 and 79934. First we will calculate the prime factors of 79916 and 79934.

Prime Factorization of 79916

Prime Factorization of 79934

Now multiplying the highest exponent prime factors to calculate the LCM of 79916 and 79934.

LCM(79916,79934) = 2² × 19979¹ × 17¹ × 2351¹
LCM(79916,79934) = 3194002772