What is the Least Common Multiple of 77475 and 77487?

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 77475 and 77487 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77475 and 77487, than apply into the LCM equation.

GCF(77475,77487) = 3
LCM(77475,77487) = ( 77475 × 77487) / 3
LCM(77475,77487) = 6003305325 / 3
LCM(77475,77487) = 2001101775

Least Common Multiple (LCM) of 77475 and 77487 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77475 and 77487. First we will calculate the prime factors of 77475 and 77487.

Prime Factorization of 77475

Prime Factorization of 77487

Now multiplying the highest exponent prime factors to calculate the LCM of 77475 and 77487.

LCM(77475,77487) = 3¹ × 5² × 1033¹ × 23¹ × 1123¹
LCM(77475,77487) = 2001101775