What is the Least Common Multiple of 48701 and 48709?

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 48701 and 48709 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48701 and 48709, than apply into the LCM equation.

GCF(48701,48709) = 1
LCM(48701,48709) = ( 48701 × 48709) / 1
LCM(48701,48709) = 2372177009 / 1
LCM(48701,48709) = 2372177009

Least Common Multiple (LCM) of 48701 and 48709 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48701 and 48709. First we will calculate the prime factors of 48701 and 48709.

Prime Factorization of 48701

Prime Factorization of 48709

Now multiplying the highest exponent prime factors to calculate the LCM of 48701 and 48709.

LCM(48701,48709) = 31¹ × 1571¹ × 67¹ × 727¹
LCM(48701,48709) = 2372177009