What is the Least Common Multiple of 75792 and 75810?

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 75792 and 75810 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75792 and 75810, than apply into the LCM equation.

GCF(75792,75810) = 6
LCM(75792,75810) = ( 75792 × 75810) / 6
LCM(75792,75810) = 5745791520 / 6
LCM(75792,75810) = 957631920

Least Common Multiple (LCM) of 75792 and 75810 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75792 and 75810. First we will calculate the prime factors of 75792 and 75810.

Prime Factorization of 75792

Prime Factorization of 75810

Now multiplying the highest exponent prime factors to calculate the LCM of 75792 and 75810.

LCM(75792,75810) = 2⁴ × 3¹ × 1579¹ × 5¹ × 7¹ × 19²
LCM(75792,75810) = 957631920