What is the Least Common Multiple of 95934 and 95943?

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 95934 and 95943 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95934 and 95943, than apply into the LCM equation.

GCF(95934,95943) = 3
LCM(95934,95943) = ( 95934 × 95943) / 3
LCM(95934,95943) = 9204195762 / 3
LCM(95934,95943) = 3068065254

Least Common Multiple (LCM) of 95934 and 95943 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95934 and 95943. First we will calculate the prime factors of 95934 and 95943.

Prime Factorization of 95934

Prime Factorization of 95943

Now multiplying the highest exponent prime factors to calculate the LCM of 95934 and 95943.

LCM(95934,95943) = 2¹ × 3¹ × 59¹ × 271¹ × 31981¹
LCM(95934,95943) = 3068065254