What is the Least Common Multiple of 74976 and 74986?

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 74976 and 74986 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74976 and 74986, than apply into the LCM equation.

GCF(74976,74986) = 2
LCM(74976,74986) = ( 74976 × 74986) / 2
LCM(74976,74986) = 5622150336 / 2
LCM(74976,74986) = 2811075168

Least Common Multiple (LCM) of 74976 and 74986 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74976 and 74986. First we will calculate the prime factors of 74976 and 74986.

Prime Factorization of 74976

Prime Factorization of 74986

Now multiplying the highest exponent prime factors to calculate the LCM of 74976 and 74986.

LCM(74976,74986) = 2⁵ × 3¹ × 11¹ × 71¹ × 37493¹
LCM(74976,74986) = 2811075168