What is the Least Common Multiple of 74625 and 74635?

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 74625 and 74635 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74625 and 74635, than apply into the LCM equation.

GCF(74625,74635) = 5
LCM(74625,74635) = ( 74625 × 74635) / 5
LCM(74625,74635) = 5569636875 / 5
LCM(74625,74635) = 1113927375

Least Common Multiple (LCM) of 74625 and 74635 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74625 and 74635. First we will calculate the prime factors of 74625 and 74635.

Prime Factorization of 74625

Prime Factorization of 74635

Now multiplying the highest exponent prime factors to calculate the LCM of 74625 and 74635.

LCM(74625,74635) = 3¹ × 5³ × 199¹ × 11¹ × 23¹ × 59¹
LCM(74625,74635) = 1113927375