What is the Least Common Multiple of 86975 and 86982?

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 86975 and 86982 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86975 and 86982, than apply into the LCM equation.

GCF(86975,86982) = 7
LCM(86975,86982) = ( 86975 × 86982) / 7
LCM(86975,86982) = 7565259450 / 7
LCM(86975,86982) = 1080751350

Least Common Multiple (LCM) of 86975 and 86982 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86975 and 86982. First we will calculate the prime factors of 86975 and 86982.

Prime Factorization of 86975

Prime Factorization of 86982

Now multiplying the highest exponent prime factors to calculate the LCM of 86975 and 86982.

LCM(86975,86982) = 5² × 7² × 71¹ × 2¹ × 3¹ × 19¹ × 109¹
LCM(86975,86982) = 1080751350