What is the Least Common Multiple of 76557 and 76575?

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 76557 and 76575 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76557 and 76575, than apply into the LCM equation.

GCF(76557,76575) = 3
LCM(76557,76575) = ( 76557 × 76575) / 3
LCM(76557,76575) = 5862352275 / 3
LCM(76557,76575) = 1954117425

Least Common Multiple (LCM) of 76557 and 76575 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76557 and 76575. First we will calculate the prime factors of 76557 and 76575.

Prime Factorization of 76557

Prime Factorization of 76575

Now multiplying the highest exponent prime factors to calculate the LCM of 76557 and 76575.

LCM(76557,76575) = 3¹ × 13² × 151¹ × 5² × 1021¹
LCM(76557,76575) = 1954117425