What is the Least Common Multiple of 61728 and 61734?

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 61734 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 61734, than apply into the LCM equation.

GCF(61728,61734) = 6
LCM(61728,61734) = ( 61728 × 61734) / 6
LCM(61728,61734) = 3810716352 / 6
LCM(61728,61734) = 635119392

Least Common Multiple (LCM) of 61728 and 61734 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61728 and 61734. First we will calculate the prime factors of 61728 and 61734.

Prime Factorization of 61728

Prime Factorization of 61734

Now multiplying the highest exponent prime factors to calculate the LCM of 61728 and 61734.

LCM(61728,61734) = 2⁵ × 3¹ × 643¹ × 10289¹
LCM(61728,61734) = 635119392