What is the Least Common Multiple of 87045 and 87057?

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 87045 and 87057 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87045 and 87057, than apply into the LCM equation.

GCF(87045,87057) = 3
LCM(87045,87057) = ( 87045 × 87057) / 3
LCM(87045,87057) = 7577876565 / 3
LCM(87045,87057) = 2525958855

Least Common Multiple (LCM) of 87045 and 87057 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87045 and 87057. First we will calculate the prime factors of 87045 and 87057.

Prime Factorization of 87045

Prime Factorization of 87057

Now multiplying the highest exponent prime factors to calculate the LCM of 87045 and 87057.

LCM(87045,87057) = 3² × 5¹ × 7¹ × 829¹ × 17¹ × 569¹
LCM(87045,87057) = 2525958855