What is the Least Common Multiple of 74506 and 74520?

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 74506 and 74520 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74506 and 74520, than apply into the LCM equation.

GCF(74506,74520) = 2
LCM(74506,74520) = ( 74506 × 74520) / 2
LCM(74506,74520) = 5552187120 / 2
LCM(74506,74520) = 2776093560

Least Common Multiple (LCM) of 74506 and 74520 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74506 and 74520. First we will calculate the prime factors of 74506 and 74520.

Prime Factorization of 74506

Prime Factorization of 74520

Now multiplying the highest exponent prime factors to calculate the LCM of 74506 and 74520.

LCM(74506,74520) = 2³ × 37253¹ × 3⁴ × 5¹ × 23¹
LCM(74506,74520) = 2776093560