What is the Least Common Multiple of 87975 and 87982?

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 87975 and 87982 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87975 and 87982, than apply into the LCM equation.

GCF(87975,87982) = 1
LCM(87975,87982) = ( 87975 × 87982) / 1
LCM(87975,87982) = 7740216450 / 1
LCM(87975,87982) = 7740216450

Least Common Multiple (LCM) of 87975 and 87982 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87975 and 87982. First we will calculate the prime factors of 87975 and 87982.

Prime Factorization of 87975

Prime Factorization of 87982

Now multiplying the highest exponent prime factors to calculate the LCM of 87975 and 87982.

LCM(87975,87982) = 3² × 5² × 17¹ × 23¹ × 2¹ × 43991¹
LCM(87975,87982) = 7740216450