What is the Least Common Multiple of 87057 and 87066?

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 87057 and 87066 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87057 and 87066, than apply into the LCM equation.

GCF(87057,87066) = 9
LCM(87057,87066) = ( 87057 × 87066) / 9
LCM(87057,87066) = 7579704762 / 9
LCM(87057,87066) = 842189418

Least Common Multiple (LCM) of 87057 and 87066 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87057 and 87066. First we will calculate the prime factors of 87057 and 87066.

Prime Factorization of 87057

Prime Factorization of 87066

Now multiplying the highest exponent prime factors to calculate the LCM of 87057 and 87066.

LCM(87057,87066) = 3² × 17¹ × 569¹ × 2¹ × 7¹ × 691¹
LCM(87057,87066) = 842189418