What is the Least Common Multiple of 61683 and 61695?

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 61683 and 61695 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61683 and 61695, than apply into the LCM equation.

GCF(61683,61695) = 3
LCM(61683,61695) = ( 61683 × 61695) / 3
LCM(61683,61695) = 3805532685 / 3
LCM(61683,61695) = 1268510895

Least Common Multiple (LCM) of 61683 and 61695 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61683 and 61695. First we will calculate the prime factors of 61683 and 61695.

Prime Factorization of 61683

Prime Factorization of 61695

Now multiplying the highest exponent prime factors to calculate the LCM of 61683 and 61695.

LCM(61683,61695) = 3³ × 29¹ × 709¹ × 5¹ × 457¹
LCM(61683,61695) = 1268510895