What is the Least Common Multiple of 75104 and 75108?

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 75104 and 75108 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75104 and 75108, than apply into the LCM equation.

GCF(75104,75108) = 4
LCM(75104,75108) = ( 75104 × 75108) / 4
LCM(75104,75108) = 5640911232 / 4
LCM(75104,75108) = 1410227808

Least Common Multiple (LCM) of 75104 and 75108 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75104 and 75108. First we will calculate the prime factors of 75104 and 75108.

Prime Factorization of 75104

Prime Factorization of 75108

Now multiplying the highest exponent prime factors to calculate the LCM of 75104 and 75108.

LCM(75104,75108) = 2⁵ × 2347¹ × 3¹ × 11¹ × 569¹
LCM(75104,75108) = 1410227808