What is the Least Common Multiple of 48643 and 48663?

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 48663 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 48663, than apply into the LCM equation.

GCF(48643,48663) = 1
LCM(48643,48663) = ( 48643 × 48663) / 1
LCM(48643,48663) = 2367114309 / 1
LCM(48643,48663) = 2367114309

Least Common Multiple (LCM) of 48643 and 48663 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48643 and 48663. First we will calculate the prime factors of 48643 and 48663.

Prime Factorization of 48643

Prime Factorization of 48663

Now multiplying the highest exponent prime factors to calculate the LCM of 48643 and 48663.

LCM(48643,48663) = 7¹ × 6949¹ × 3² × 5407¹
LCM(48643,48663) = 2367114309