What is the Least Common Multiple of 77484 and 77500?

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 77484 and 77500 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77484 and 77500, than apply into the LCM equation.

GCF(77484,77500) = 4
LCM(77484,77500) = ( 77484 × 77500) / 4
LCM(77484,77500) = 6005010000 / 4
LCM(77484,77500) = 1501252500

Least Common Multiple (LCM) of 77484 and 77500 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77484 and 77500. First we will calculate the prime factors of 77484 and 77500.

Prime Factorization of 77484

Prime Factorization of 77500

Now multiplying the highest exponent prime factors to calculate the LCM of 77484 and 77500.

LCM(77484,77500) = 2² × 3¹ × 11¹ × 587¹ × 5⁴ × 31¹
LCM(77484,77500) = 1501252500