What is the Least Common Multiple of 48519 and 48531?

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 48519 and 48531 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48519 and 48531, than apply into the LCM equation.

GCF(48519,48531) = 3
LCM(48519,48531) = ( 48519 × 48531) / 3
LCM(48519,48531) = 2354675589 / 3
LCM(48519,48531) = 784891863

Least Common Multiple (LCM) of 48519 and 48531 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48519 and 48531. First we will calculate the prime factors of 48519 and 48531.

Prime Factorization of 48519

Prime Factorization of 48531

Now multiplying the highest exponent prime factors to calculate the LCM of 48519 and 48531.

LCM(48519,48531) = 3⁴ × 599¹ × 7¹ × 2311¹
LCM(48519,48531) = 784891863