What is the Least Common Multiple of 74378 and 74392?

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 74378 and 74392 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74378 and 74392, than apply into the LCM equation.

GCF(74378,74392) = 2
LCM(74378,74392) = ( 74378 × 74392) / 2
LCM(74378,74392) = 5533128176 / 2
LCM(74378,74392) = 2766564088

Least Common Multiple (LCM) of 74378 and 74392 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74378 and 74392. First we will calculate the prime factors of 74378 and 74392.

Prime Factorization of 74378

Prime Factorization of 74392

Now multiplying the highest exponent prime factors to calculate the LCM of 74378 and 74392.

LCM(74378,74392) = 2³ × 37189¹ × 17¹ × 547¹
LCM(74378,74392) = 2766564088