What is the Least Common Multiple of 8974 and 8978?

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 8974 and 8978 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8974 and 8978, than apply into the LCM equation.

GCF(8974,8978) = 2
LCM(8974,8978) = ( 8974 × 8978) / 2
LCM(8974,8978) = 80568572 / 2
LCM(8974,8978) = 40284286

Least Common Multiple (LCM) of 8974 and 8978 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8974 and 8978. First we will calculate the prime factors of 8974 and 8978.

Prime Factorization of 8974

Prime Factorization of 8978

Now multiplying the highest exponent prime factors to calculate the LCM of 8974 and 8978.

LCM(8974,8978) = 2¹ × 7¹ × 641¹ × 67²
LCM(8974,8978) = 40284286