What is the Least Common Multiple of 48580 and 48599?

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 48580 and 48599 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48580 and 48599, than apply into the LCM equation.

GCF(48580,48599) = 1
LCM(48580,48599) = ( 48580 × 48599) / 1
LCM(48580,48599) = 2360939420 / 1
LCM(48580,48599) = 2360939420

Least Common Multiple (LCM) of 48580 and 48599 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48580 and 48599. First we will calculate the prime factors of 48580 and 48599.

Prime Factorization of 48580

Prime Factorization of 48599

Now multiplying the highest exponent prime factors to calculate the LCM of 48580 and 48599.

LCM(48580,48599) = 2² × 5¹ × 7¹ × 347¹ × 23¹ × 2113¹
LCM(48580,48599) = 2360939420