What is the Least Common Multiple of 86984 and 87002?

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 86984 and 87002 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86984 and 87002, than apply into the LCM equation.

GCF(86984,87002) = 2
LCM(86984,87002) = ( 86984 × 87002) / 2
LCM(86984,87002) = 7567781968 / 2
LCM(86984,87002) = 3783890984

Least Common Multiple (LCM) of 86984 and 87002 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86984 and 87002. First we will calculate the prime factors of 86984 and 87002.

Prime Factorization of 86984

Prime Factorization of 87002

Now multiplying the highest exponent prime factors to calculate the LCM of 86984 and 87002.

LCM(86984,87002) = 2³ × 83¹ × 131¹ × 41¹ × 1061¹
LCM(86984,87002) = 3783890984