What is the Least Common Multiple of 74124 and 74136?

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 74124 and 74136 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74124 and 74136, than apply into the LCM equation.

GCF(74124,74136) = 12
LCM(74124,74136) = ( 74124 × 74136) / 12
LCM(74124,74136) = 5495256864 / 12
LCM(74124,74136) = 457938072

Least Common Multiple (LCM) of 74124 and 74136 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74124 and 74136. First we will calculate the prime factors of 74124 and 74136.

Prime Factorization of 74124

Prime Factorization of 74136

Now multiplying the highest exponent prime factors to calculate the LCM of 74124 and 74136.

LCM(74124,74136) = 2³ × 3² × 29¹ × 71¹ × 3089¹
LCM(74124,74136) = 457938072