What is the Least Common Multiple of 61728 and 61743?

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 61728 and 61743 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61728 and 61743, than apply into the LCM equation.

GCF(61728,61743) = 3
LCM(61728,61743) = ( 61728 × 61743) / 3
LCM(61728,61743) = 3811271904 / 3
LCM(61728,61743) = 1270423968

Least Common Multiple (LCM) of 61728 and 61743 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61728 and 61743. First we will calculate the prime factors of 61728 and 61743.

Prime Factorization of 61728

Prime Factorization of 61743

Now multiplying the highest exponent prime factors to calculate the LCM of 61728 and 61743.

LCM(61728,61743) = 2⁵ × 3¹ × 643¹ × 11¹ × 1871¹
LCM(61728,61743) = 1270423968