What is the Least Common Multiple of 74508 and 74524?

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 74508 and 74524 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74508 and 74524, than apply into the LCM equation.

GCF(74508,74524) = 4
LCM(74508,74524) = ( 74508 × 74524) / 4
LCM(74508,74524) = 5552634192 / 4
LCM(74508,74524) = 1388158548

Least Common Multiple (LCM) of 74508 and 74524 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74508 and 74524. First we will calculate the prime factors of 74508 and 74524.

Prime Factorization of 74508

Prime Factorization of 74524

Now multiplying the highest exponent prime factors to calculate the LCM of 74508 and 74524.

LCM(74508,74524) = 2² × 3¹ × 7¹ × 887¹ × 31¹ × 601¹
LCM(74508,74524) = 1388158548