What is the Least Common Multiple of 48645 and 48657?

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 48645 and 48657 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48645 and 48657, than apply into the LCM equation.

GCF(48645,48657) = 3
LCM(48645,48657) = ( 48645 × 48657) / 3
LCM(48645,48657) = 2366919765 / 3
LCM(48645,48657) = 788973255

Least Common Multiple (LCM) of 48645 and 48657 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48645 and 48657. First we will calculate the prime factors of 48645 and 48657.

Prime Factorization of 48645

Prime Factorization of 48657

Now multiplying the highest exponent prime factors to calculate the LCM of 48645 and 48657.

LCM(48645,48657) = 3² × 5¹ × 23¹ × 47¹ × 7² × 331¹
LCM(48645,48657) = 788973255