What is the Least Common Multiple of 53625 and 53640?

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 53625 and 53640 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53625 and 53640, than apply into the LCM equation.

GCF(53625,53640) = 15
LCM(53625,53640) = ( 53625 × 53640) / 15
LCM(53625,53640) = 2876445000 / 15
LCM(53625,53640) = 191763000

Least Common Multiple (LCM) of 53625 and 53640 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53625 and 53640. First we will calculate the prime factors of 53625 and 53640.

Prime Factorization of 53625

Prime Factorization of 53640

Now multiplying the highest exponent prime factors to calculate the LCM of 53625 and 53640.

LCM(53625,53640) = 3² × 5³ × 11¹ × 13¹ × 2³ × 149¹
LCM(53625,53640) = 191763000