What is the Least Common Multiple of 76575 and 76587?

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 76575 and 76587 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76575 and 76587, than apply into the LCM equation.

GCF(76575,76587) = 3
LCM(76575,76587) = ( 76575 × 76587) / 3
LCM(76575,76587) = 5864649525 / 3
LCM(76575,76587) = 1954883175

Least Common Multiple (LCM) of 76575 and 76587 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76575 and 76587. First we will calculate the prime factors of 76575 and 76587.

Prime Factorization of 76575

Prime Factorization of 76587

Now multiplying the highest exponent prime factors to calculate the LCM of 76575 and 76587.

LCM(76575,76587) = 3¹ × 5² × 1021¹ × 7² × 521¹
LCM(76575,76587) = 1954883175