What is the Least Common Multiple of 74186 and 74200?

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 74186 and 74200 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74186 and 74200, than apply into the LCM equation.

GCF(74186,74200) = 14
LCM(74186,74200) = ( 74186 × 74200) / 14
LCM(74186,74200) = 5504601200 / 14
LCM(74186,74200) = 393185800

Least Common Multiple (LCM) of 74186 and 74200 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74186 and 74200. First we will calculate the prime factors of 74186 and 74200.

Prime Factorization of 74186

Prime Factorization of 74200

Now multiplying the highest exponent prime factors to calculate the LCM of 74186 and 74200.

LCM(74186,74200) = 2³ × 7² × 757¹ × 5² × 53¹
LCM(74186,74200) = 393185800