What is the Least Common Multiple of 76440 and 76455?

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 76440 and 76455 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76440 and 76455, than apply into the LCM equation.

GCF(76440,76455) = 15
LCM(76440,76455) = ( 76440 × 76455) / 15
LCM(76440,76455) = 5844220200 / 15
LCM(76440,76455) = 389614680

Least Common Multiple (LCM) of 76440 and 76455 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76440 and 76455. First we will calculate the prime factors of 76440 and 76455.

Prime Factorization of 76440

Prime Factorization of 76455

Now multiplying the highest exponent prime factors to calculate the LCM of 76440 and 76455.

LCM(76440,76455) = 2³ × 3² × 5¹ × 7² × 13¹ × 1699¹
LCM(76440,76455) = 389614680