What is the Least Common Multiple of 61728 and 61747?

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 61747 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 61747, than apply into the LCM equation.

GCF(61728,61747) = 1
LCM(61728,61747) = ( 61728 × 61747) / 1
LCM(61728,61747) = 3811518816 / 1
LCM(61728,61747) = 3811518816

Least Common Multiple (LCM) of 61728 and 61747 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61728 and 61747. First we will calculate the prime factors of 61728 and 61747.

Prime Factorization of 61728

Prime Factorization of 61747

Now multiplying the highest exponent prime factors to calculate the LCM of 61728 and 61747.

LCM(61728,61747) = 2⁵ × 3¹ × 643¹ × 7¹ × 8821¹
LCM(61728,61747) = 3811518816