What is the Least Common Multiple of 51480 and 51500?

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 51480 and 51500 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51480 and 51500, than apply into the LCM equation.

GCF(51480,51500) = 20
LCM(51480,51500) = ( 51480 × 51500) / 20
LCM(51480,51500) = 2651220000 / 20
LCM(51480,51500) = 132561000

Least Common Multiple (LCM) of 51480 and 51500 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51480 and 51500. First we will calculate the prime factors of 51480 and 51500.

Prime Factorization of 51480

Prime Factorization of 51500

Now multiplying the highest exponent prime factors to calculate the LCM of 51480 and 51500.

LCM(51480,51500) = 2³ × 3² × 5³ × 11¹ × 13¹ × 103¹
LCM(51480,51500) = 132561000