What is the Least Common Multiple of 75356 and 75372?

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 75356 and 75372 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75356 and 75372, than apply into the LCM equation.

GCF(75356,75372) = 4
LCM(75356,75372) = ( 75356 × 75372) / 4
LCM(75356,75372) = 5679732432 / 4
LCM(75356,75372) = 1419933108

Least Common Multiple (LCM) of 75356 and 75372 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75356 and 75372. First we will calculate the prime factors of 75356 and 75372.

Prime Factorization of 75356

Prime Factorization of 75372

Now multiplying the highest exponent prime factors to calculate the LCM of 75356 and 75372.

LCM(75356,75372) = 2² × 18839¹ × 3¹ × 11¹ × 571¹
LCM(75356,75372) = 1419933108