What is the Least Common Multiple of 76038 and 76057?

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 76038 and 76057 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76038 and 76057, than apply into the LCM equation.

GCF(76038,76057) = 19
LCM(76038,76057) = ( 76038 × 76057) / 19
LCM(76038,76057) = 5783222166 / 19
LCM(76038,76057) = 304380114

Least Common Multiple (LCM) of 76038 and 76057 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76038 and 76057. First we will calculate the prime factors of 76038 and 76057.

Prime Factorization of 76038

Prime Factorization of 76057

Now multiplying the highest exponent prime factors to calculate the LCM of 76038 and 76057.

LCM(76038,76057) = 2¹ × 3¹ × 19¹ × 23¹ × 29¹ × 4003¹
LCM(76038,76057) = 304380114