What is the Least Common Multiple of 74524 and 74538?

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 74524 and 74538 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74524 and 74538, than apply into the LCM equation.

GCF(74524,74538) = 2
LCM(74524,74538) = ( 74524 × 74538) / 2
LCM(74524,74538) = 5554869912 / 2
LCM(74524,74538) = 2777434956

Least Common Multiple (LCM) of 74524 and 74538 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74524 and 74538. First we will calculate the prime factors of 74524 and 74538.

Prime Factorization of 74524

Prime Factorization of 74538

Now multiplying the highest exponent prime factors to calculate the LCM of 74524 and 74538.

LCM(74524,74538) = 2² × 31¹ × 601¹ × 3² × 41¹ × 101¹
LCM(74524,74538) = 2777434956