What is the Least Common Multiple of 48724 and 48729?

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 48724 and 48729 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48724 and 48729, than apply into the LCM equation.

GCF(48724,48729) = 1
LCM(48724,48729) = ( 48724 × 48729) / 1
LCM(48724,48729) = 2374271796 / 1
LCM(48724,48729) = 2374271796

Least Common Multiple (LCM) of 48724 and 48729 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48724 and 48729. First we will calculate the prime factors of 48724 and 48729.

Prime Factorization of 48724

Prime Factorization of 48729

Now multiplying the highest exponent prime factors to calculate the LCM of 48724 and 48729.

LCM(48724,48729) = 2² × 13¹ × 937¹ × 3¹ × 37¹ × 439¹
LCM(48724,48729) = 2374271796