What is the Least Common Multiple of 48519 and 48537?

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 48537 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 48537, than apply into the LCM equation.

GCF(48519,48537) = 9
LCM(48519,48537) = ( 48519 × 48537) / 9
LCM(48519,48537) = 2354966703 / 9
LCM(48519,48537) = 261662967

Least Common Multiple (LCM) of 48519 and 48537 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48519 and 48537. First we will calculate the prime factors of 48519 and 48537.

Prime Factorization of 48519

Prime Factorization of 48537

Now multiplying the highest exponent prime factors to calculate the LCM of 48519 and 48537.

LCM(48519,48537) = 3⁴ × 599¹ × 5393¹
LCM(48519,48537) = 261662967