What is the Least Common Multiple of 73125 and 73140?

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 73125 and 73140 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73125 and 73140, than apply into the LCM equation.

GCF(73125,73140) = 15
LCM(73125,73140) = ( 73125 × 73140) / 15
LCM(73125,73140) = 5348362500 / 15
LCM(73125,73140) = 356557500

Least Common Multiple (LCM) of 73125 and 73140 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73125 and 73140. First we will calculate the prime factors of 73125 and 73140.

Prime Factorization of 73125

Prime Factorization of 73140

Now multiplying the highest exponent prime factors to calculate the LCM of 73125 and 73140.

LCM(73125,73140) = 3² × 5⁴ × 13¹ × 2² × 23¹ × 53¹
LCM(73125,73140) = 356557500