What is the Least Common Multiple of 61929 and 61946?

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 61929 and 61946 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61929 and 61946, than apply into the LCM equation.

GCF(61929,61946) = 1
LCM(61929,61946) = ( 61929 × 61946) / 1
LCM(61929,61946) = 3836253834 / 1
LCM(61929,61946) = 3836253834

Least Common Multiple (LCM) of 61929 and 61946 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61929 and 61946. First we will calculate the prime factors of 61929 and 61946.

Prime Factorization of 61929

Prime Factorization of 61946

Now multiplying the highest exponent prime factors to calculate the LCM of 61929 and 61946.

LCM(61929,61946) = 3² × 7¹ × 983¹ × 2¹ × 47¹ × 659¹
LCM(61929,61946) = 3836253834