What is the Least Common Multiple of 86972 and 86987?

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 86972 and 86987 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86972 and 86987, than apply into the LCM equation.

GCF(86972,86987) = 1
LCM(86972,86987) = ( 86972 × 86987) / 1
LCM(86972,86987) = 7565433364 / 1
LCM(86972,86987) = 7565433364

Least Common Multiple (LCM) of 86972 and 86987 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86972 and 86987. First we will calculate the prime factors of 86972 and 86987.

Prime Factorization of 86972

Prime Factorization of 86987

Now multiplying the highest exponent prime factors to calculate the LCM of 86972 and 86987.

LCM(86972,86987) = 2² × 17¹ × 1279¹ × 37¹ × 2351¹
LCM(86972,86987) = 7565433364