What is the Least Common Multiple of 75084 and 75101?

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 75101 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 75101, than apply into the LCM equation.

GCF(75084,75101) = 1
LCM(75084,75101) = ( 75084 × 75101) / 1
LCM(75084,75101) = 5638883484 / 1
LCM(75084,75101) = 5638883484

Least Common Multiple (LCM) of 75084 and 75101 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75084 and 75101. First we will calculate the prime factors of 75084 and 75101.

Prime Factorization of 75084

Prime Factorization of 75101

Now multiplying the highest exponent prime factors to calculate the LCM of 75084 and 75101.

LCM(75084,75101) = 2² × 3¹ × 6257¹ × 13¹ × 53¹ × 109¹
LCM(75084,75101) = 5638883484