What is the Least Common Multiple of 61728 and 61746?

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 61746 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 61746, than apply into the LCM equation.

GCF(61728,61746) = 6
LCM(61728,61746) = ( 61728 × 61746) / 6
LCM(61728,61746) = 3811457088 / 6
LCM(61728,61746) = 635242848

Least Common Multiple (LCM) of 61728 and 61746 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61728 and 61746. First we will calculate the prime factors of 61728 and 61746.

Prime Factorization of 61728

Prime Factorization of 61746

Now multiplying the highest exponent prime factors to calculate the LCM of 61728 and 61746.

LCM(61728,61746) = 2⁵ × 3¹ × 643¹ × 41¹ × 251¹
LCM(61728,61746) = 635242848