What is the Least Common Multiple of 48657 and 48667?

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 48657 and 48667 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48657 and 48667, than apply into the LCM equation.

GCF(48657,48667) = 1
LCM(48657,48667) = ( 48657 × 48667) / 1
LCM(48657,48667) = 2367990219 / 1
LCM(48657,48667) = 2367990219

Least Common Multiple (LCM) of 48657 and 48667 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48657 and 48667. First we will calculate the prime factors of 48657 and 48667.

Prime Factorization of 48657

Prime Factorization of 48667

Now multiplying the highest exponent prime factors to calculate the LCM of 48657 and 48667.

LCM(48657,48667) = 3¹ × 7² × 331¹ × 41¹ × 1187¹
LCM(48657,48667) = 2367990219