What is the Least Common Multiple of 74070 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 74070 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 74070 and 74088, than apply into the LCM equation.

GCF(74070,74088) = 18
LCM(74070,74088) = ( 74070 × 74088) / 18
LCM(74070,74088) = 5487698160 / 18
LCM(74070,74088) = 304872120

Least Common Multiple (LCM) of 74070 and 74088 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74070 and 74088. First we will calculate the prime factors of 74070 and 74088.

Prime Factorization of 74070

Prime Factorization of 74088

Now multiplying the highest exponent prime factors to calculate the LCM of 74070 and 74088.

LCM(74070,74088) = 2³ × 3³ × 5¹ × 823¹ × 7³
LCM(74070,74088) = 304872120