What is the Least Common Multiple of 95944 and 95948?

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 95944 and 95948 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95944 and 95948, than apply into the LCM equation.

GCF(95944,95948) = 4
LCM(95944,95948) = ( 95944 × 95948) / 4
LCM(95944,95948) = 9205634912 / 4
LCM(95944,95948) = 2301408728

Least Common Multiple (LCM) of 95944 and 95948 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95944 and 95948. First we will calculate the prime factors of 95944 and 95948.

Prime Factorization of 95944

Prime Factorization of 95948

Now multiplying the highest exponent prime factors to calculate the LCM of 95944 and 95948.

LCM(95944,95948) = 2³ × 67¹ × 179¹ × 17² × 83¹
LCM(95944,95948) = 2301408728