What is the Least Common Multiple of 61743 and 61756?

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 61743 and 61756 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61743 and 61756, than apply into the LCM equation.

GCF(61743,61756) = 1
LCM(61743,61756) = ( 61743 × 61756) / 1
LCM(61743,61756) = 3813000708 / 1
LCM(61743,61756) = 3813000708

Least Common Multiple (LCM) of 61743 and 61756 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61743 and 61756. First we will calculate the prime factors of 61743 and 61756.

Prime Factorization of 61743

Prime Factorization of 61756

Now multiplying the highest exponent prime factors to calculate the LCM of 61743 and 61756.

LCM(61743,61756) = 3¹ × 11¹ × 1871¹ × 2² × 15439¹
LCM(61743,61756) = 3813000708