What is the Least Common Multiple of 74625 and 74634?

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 74634 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 74634, than apply into the LCM equation.

GCF(74625,74634) = 3
LCM(74625,74634) = ( 74625 × 74634) / 3
LCM(74625,74634) = 5569562250 / 3
LCM(74625,74634) = 1856520750

Least Common Multiple (LCM) of 74625 and 74634 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74625 and 74634. First we will calculate the prime factors of 74625 and 74634.

Prime Factorization of 74625

Prime Factorization of 74634

Now multiplying the highest exponent prime factors to calculate the LCM of 74625 and 74634.

LCM(74625,74634) = 3¹ × 5³ × 199¹ × 2¹ × 7¹ × 1777¹
LCM(74625,74634) = 1856520750