What is the Least Common Multiple of 48643 and 48653?

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 48643 and 48653 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48643 and 48653, than apply into the LCM equation.

GCF(48643,48653) = 1
LCM(48643,48653) = ( 48643 × 48653) / 1
LCM(48643,48653) = 2366627879 / 1
LCM(48643,48653) = 2366627879

Least Common Multiple (LCM) of 48643 and 48653 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48643 and 48653. First we will calculate the prime factors of 48643 and 48653.

Prime Factorization of 48643

Prime Factorization of 48653

Now multiplying the highest exponent prime factors to calculate the LCM of 48643 and 48653.

LCM(48643,48653) = 7¹ × 6949¹ × 11¹ × 4423¹
LCM(48643,48653) = 2366627879