What is the Least Common Multiple of 75084 and 75104?

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 75084 and 75104 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75084 and 75104, than apply into the LCM equation.

GCF(75084,75104) = 4
LCM(75084,75104) = ( 75084 × 75104) / 4
LCM(75084,75104) = 5639108736 / 4
LCM(75084,75104) = 1409777184

Least Common Multiple (LCM) of 75084 and 75104 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75084 and 75104. First we will calculate the prime factors of 75084 and 75104.

Prime Factorization of 75084

Prime Factorization of 75104

Now multiplying the highest exponent prime factors to calculate the LCM of 75084 and 75104.

LCM(75084,75104) = 2⁵ × 3¹ × 6257¹ × 2347¹
LCM(75084,75104) = 1409777184