What is the Least Common Multiple of 48548 and 48568?

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 48548 and 48568 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48548 and 48568, than apply into the LCM equation.

GCF(48548,48568) = 4
LCM(48548,48568) = ( 48548 × 48568) / 4
LCM(48548,48568) = 2357879264 / 4
LCM(48548,48568) = 589469816

Least Common Multiple (LCM) of 48548 and 48568 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48548 and 48568. First we will calculate the prime factors of 48548 and 48568.

Prime Factorization of 48548

Prime Factorization of 48568

Now multiplying the highest exponent prime factors to calculate the LCM of 48548 and 48568.

LCM(48548,48568) = 2³ × 53¹ × 229¹ × 13¹ × 467¹
LCM(48548,48568) = 589469816