What is the Least Common Multiple of 76428 and 76440?

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 76428 and 76440 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76428 and 76440, than apply into the LCM equation.

GCF(76428,76440) = 12
LCM(76428,76440) = ( 76428 × 76440) / 12
LCM(76428,76440) = 5842156320 / 12
LCM(76428,76440) = 486846360

Least Common Multiple (LCM) of 76428 and 76440 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76428 and 76440. First we will calculate the prime factors of 76428 and 76440.

Prime Factorization of 76428

Prime Factorization of 76440

Now multiplying the highest exponent prime factors to calculate the LCM of 76428 and 76440.

LCM(76428,76440) = 2³ × 3² × 11¹ × 193¹ × 5¹ × 7² × 13¹
LCM(76428,76440) = 486846360