What is the Least Common Multiple of 8960 and 8974?

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 8960 and 8974 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8960 and 8974, than apply into the LCM equation.

GCF(8960,8974) = 14
LCM(8960,8974) = ( 8960 × 8974) / 14
LCM(8960,8974) = 80407040 / 14
LCM(8960,8974) = 5743360

Least Common Multiple (LCM) of 8960 and 8974 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8960 and 8974. First we will calculate the prime factors of 8960 and 8974.

Prime Factorization of 8960

Prime Factorization of 8974

Now multiplying the highest exponent prime factors to calculate the LCM of 8960 and 8974.

LCM(8960,8974) = 2⁸ × 5¹ × 7¹ × 641¹
LCM(8960,8974) = 5743360