What is the Least Common Multiple of 74250 and 74264?

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 74250 and 74264 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74250 and 74264, than apply into the LCM equation.

GCF(74250,74264) = 2
LCM(74250,74264) = ( 74250 × 74264) / 2
LCM(74250,74264) = 5514102000 / 2
LCM(74250,74264) = 2757051000

Least Common Multiple (LCM) of 74250 and 74264 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74250 and 74264. First we will calculate the prime factors of 74250 and 74264.

Prime Factorization of 74250

Prime Factorization of 74264

Now multiplying the highest exponent prime factors to calculate the LCM of 74250 and 74264.

LCM(74250,74264) = 2³ × 3³ × 5³ × 11¹ × 9283¹
LCM(74250,74264) = 2757051000