What is the Least Common Multiple of 75396 and 75413?

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 75396 and 75413 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75396 and 75413, than apply into the LCM equation.

GCF(75396,75413) = 1
LCM(75396,75413) = ( 75396 × 75413) / 1
LCM(75396,75413) = 5685838548 / 1
LCM(75396,75413) = 5685838548

Least Common Multiple (LCM) of 75396 and 75413 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75396 and 75413. First we will calculate the prime factors of 75396 and 75413.

Prime Factorization of 75396

Prime Factorization of 75413

Now multiplying the highest exponent prime factors to calculate the LCM of 75396 and 75413.

LCM(75396,75413) = 2² × 3¹ × 61¹ × 103¹ × 13¹ × 5801¹
LCM(75396,75413) = 5685838548