What is the Least Common Multiple of 95931 and 95946?

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 95931 and 95946 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95931 and 95946, than apply into the LCM equation.

GCF(95931,95946) = 3
LCM(95931,95946) = ( 95931 × 95946) / 3
LCM(95931,95946) = 9204195726 / 3
LCM(95931,95946) = 3068065242

Least Common Multiple (LCM) of 95931 and 95946 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95931 and 95946. First we will calculate the prime factors of 95931 and 95946.

Prime Factorization of 95931

Prime Factorization of 95946

Now multiplying the highest exponent prime factors to calculate the LCM of 95931 and 95946.

LCM(95931,95946) = 3³ × 11¹ × 17¹ × 19¹ × 2¹ × 15991¹
LCM(95931,95946) = 3068065242