What is the Least Common Multiple of 48639 and 48645?

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 48639 and 48645 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48639 and 48645, than apply into the LCM equation.

GCF(48639,48645) = 3
LCM(48639,48645) = ( 48639 × 48645) / 3
LCM(48639,48645) = 2366044155 / 3
LCM(48639,48645) = 788681385

Least Common Multiple (LCM) of 48639 and 48645 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48639 and 48645. First we will calculate the prime factors of 48639 and 48645.

Prime Factorization of 48639

Prime Factorization of 48645

Now multiplying the highest exponent prime factors to calculate the LCM of 48639 and 48645.

LCM(48639,48645) = 3² × 31¹ × 523¹ × 5¹ × 23¹ × 47¹
LCM(48639,48645) = 788681385