What is the Least Common Multiple of 48519 and 48528?

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 48528 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 48528, than apply into the LCM equation.

GCF(48519,48528) = 9
LCM(48519,48528) = ( 48519 × 48528) / 9
LCM(48519,48528) = 2354530032 / 9
LCM(48519,48528) = 261614448

Least Common Multiple (LCM) of 48519 and 48528 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48519 and 48528. First we will calculate the prime factors of 48519 and 48528.

Prime Factorization of 48519

Prime Factorization of 48528

Now multiplying the highest exponent prime factors to calculate the LCM of 48519 and 48528.

LCM(48519,48528) = 3⁴ × 599¹ × 2⁴ × 337¹
LCM(48519,48528) = 261614448