What is the Least Common Multiple of 74074 and 74088?

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 74074 and 74088 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74074 and 74088, than apply into the LCM equation.

GCF(74074,74088) = 14
LCM(74074,74088) = ( 74074 × 74088) / 14
LCM(74074,74088) = 5487994512 / 14
LCM(74074,74088) = 391999608

Least Common Multiple (LCM) of 74074 and 74088 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74074 and 74088. First we will calculate the prime factors of 74074 and 74088.

Prime Factorization of 74074

Prime Factorization of 74088

Now multiplying the highest exponent prime factors to calculate the LCM of 74074 and 74088.

LCM(74074,74088) = 2³ × 7³ × 11¹ × 13¹ × 37¹ × 3³
LCM(74074,74088) = 391999608