What is the Least Common Multiple of 76598 and 76616?

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 76598 and 76616 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76598 and 76616, than apply into the LCM equation.

GCF(76598,76616) = 2
LCM(76598,76616) = ( 76598 × 76616) / 2
LCM(76598,76616) = 5868632368 / 2
LCM(76598,76616) = 2934316184

Least Common Multiple (LCM) of 76598 and 76616 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76598 and 76616. First we will calculate the prime factors of 76598 and 76616.

Prime Factorization of 76598

Prime Factorization of 76616

Now multiplying the highest exponent prime factors to calculate the LCM of 76598 and 76616.

LCM(76598,76616) = 2³ × 38299¹ × 61¹ × 157¹
LCM(76598,76616) = 2934316184