What is the Least Common Multiple of 87966 and 87978?

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 87966 and 87978 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87966 and 87978, than apply into the LCM equation.

GCF(87966,87978) = 6
LCM(87966,87978) = ( 87966 × 87978) / 6
LCM(87966,87978) = 7739072748 / 6
LCM(87966,87978) = 1289845458

Least Common Multiple (LCM) of 87966 and 87978 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87966 and 87978. First we will calculate the prime factors of 87966 and 87978.

Prime Factorization of 87966

Prime Factorization of 87978

Now multiplying the highest exponent prime factors to calculate the LCM of 87966 and 87978.

LCM(87966,87978) = 2¹ × 3⁵ × 181¹ × 11¹ × 31¹ × 43¹
LCM(87966,87978) = 1289845458