What is the Least Common Multiple of 74172 and 74186?

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 74172 and 74186 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74172 and 74186, than apply into the LCM equation.

GCF(74172,74186) = 14
LCM(74172,74186) = ( 74172 × 74186) / 14
LCM(74172,74186) = 5502523992 / 14
LCM(74172,74186) = 393037428

Least Common Multiple (LCM) of 74172 and 74186 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74172 and 74186. First we will calculate the prime factors of 74172 and 74186.

Prime Factorization of 74172

Prime Factorization of 74186

Now multiplying the highest exponent prime factors to calculate the LCM of 74172 and 74186.

LCM(74172,74186) = 2² × 3¹ × 7² × 883¹ × 757¹
LCM(74172,74186) = 393037428