What is the Least Common Multiple of 74855 and 74875?

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 74855 and 74875 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74855 and 74875, than apply into the LCM equation.

GCF(74855,74875) = 5
LCM(74855,74875) = ( 74855 × 74875) / 5
LCM(74855,74875) = 5604768125 / 5
LCM(74855,74875) = 1120953625

Least Common Multiple (LCM) of 74855 and 74875 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74855 and 74875. First we will calculate the prime factors of 74855 and 74875.

Prime Factorization of 74855

Prime Factorization of 74875

Now multiplying the highest exponent prime factors to calculate the LCM of 74855 and 74875.

LCM(74855,74875) = 5³ × 11¹ × 1361¹ × 599¹
LCM(74855,74875) = 1120953625