What is the Least Common Multiple of 48521 and 48539?

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 48521 and 48539 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48521 and 48539, than apply into the LCM equation.

GCF(48521,48539) = 1
LCM(48521,48539) = ( 48521 × 48539) / 1
LCM(48521,48539) = 2355160819 / 1
LCM(48521,48539) = 2355160819

Least Common Multiple (LCM) of 48521 and 48539 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48521 and 48539. First we will calculate the prime factors of 48521 and 48539.

Prime Factorization of 48521

Prime Factorization of 48539

Now multiplying the highest exponent prime factors to calculate the LCM of 48521 and 48539.

LCM(48521,48539) = 11² × 401¹ × 48539¹
LCM(48521,48539) = 2355160819