What is the Least Common Multiple of 74784 and 74790?

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 74784 and 74790 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74784 and 74790, than apply into the LCM equation.

GCF(74784,74790) = 6
LCM(74784,74790) = ( 74784 × 74790) / 6
LCM(74784,74790) = 5593095360 / 6
LCM(74784,74790) = 932182560

Least Common Multiple (LCM) of 74784 and 74790 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74784 and 74790. First we will calculate the prime factors of 74784 and 74790.

Prime Factorization of 74784

Prime Factorization of 74790

Now multiplying the highest exponent prime factors to calculate the LCM of 74784 and 74790.

LCM(74784,74790) = 2⁵ × 3³ × 19¹ × 41¹ × 5¹ × 277¹
LCM(74784,74790) = 932182560