What is the Least Common Multiple of 76544 and 76557?

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 76544 and 76557 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76544 and 76557, than apply into the LCM equation.

GCF(76544,76557) = 13
LCM(76544,76557) = ( 76544 × 76557) / 13
LCM(76544,76557) = 5859979008 / 13
LCM(76544,76557) = 450767616

Least Common Multiple (LCM) of 76544 and 76557 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76544 and 76557. First we will calculate the prime factors of 76544 and 76557.

Prime Factorization of 76544

Prime Factorization of 76557

Now multiplying the highest exponent prime factors to calculate the LCM of 76544 and 76557.

LCM(76544,76557) = 2⁸ × 13² × 23¹ × 3¹ × 151¹
LCM(76544,76557) = 450767616