What is the Least Common Multiple of 73725 and 73740?

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 73725 and 73740 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73725 and 73740, than apply into the LCM equation.

GCF(73725,73740) = 15
LCM(73725,73740) = ( 73725 × 73740) / 15
LCM(73725,73740) = 5436481500 / 15
LCM(73725,73740) = 362432100

Least Common Multiple (LCM) of 73725 and 73740 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73725 and 73740. First we will calculate the prime factors of 73725 and 73740.

Prime Factorization of 73725

Prime Factorization of 73740

Now multiplying the highest exponent prime factors to calculate the LCM of 73725 and 73740.

LCM(73725,73740) = 3¹ × 5² × 983¹ × 2² × 1229¹
LCM(73725,73740) = 362432100