What is the Least Common Multiple of 86980 and 87000?

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 86980 and 87000 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86980 and 87000, than apply into the LCM equation.

GCF(86980,87000) = 20
LCM(86980,87000) = ( 86980 × 87000) / 20
LCM(86980,87000) = 7567260000 / 20
LCM(86980,87000) = 378363000

Least Common Multiple (LCM) of 86980 and 87000 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86980 and 87000. First we will calculate the prime factors of 86980 and 87000.

Prime Factorization of 86980

Prime Factorization of 87000

Now multiplying the highest exponent prime factors to calculate the LCM of 86980 and 87000.

LCM(86980,87000) = 2³ × 5³ × 4349¹ × 3¹ × 29¹
LCM(86980,87000) = 378363000