What is the Least Common Multiple of 76021 and 76034?

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 76021 and 76034 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76021 and 76034, than apply into the LCM equation.

GCF(76021,76034) = 1
LCM(76021,76034) = ( 76021 × 76034) / 1
LCM(76021,76034) = 5780180714 / 1
LCM(76021,76034) = 5780180714

Least Common Multiple (LCM) of 76021 and 76034 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76021 and 76034. First we will calculate the prime factors of 76021 and 76034.

Prime Factorization of 76021

Prime Factorization of 76034

Now multiplying the highest exponent prime factors to calculate the LCM of 76021 and 76034.

LCM(76021,76034) = 11¹ × 6911¹ × 2¹ × 7¹ × 5431¹
LCM(76021,76034) = 5780180714