What is the Least Common Multiple of 95942 and 95950?

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 95942 and 95950 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95942 and 95950, than apply into the LCM equation.

GCF(95942,95950) = 2
LCM(95942,95950) = ( 95942 × 95950) / 2
LCM(95942,95950) = 9205634900 / 2
LCM(95942,95950) = 4602817450

Least Common Multiple (LCM) of 95942 and 95950 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95942 and 95950. First we will calculate the prime factors of 95942 and 95950.

Prime Factorization of 95942

Prime Factorization of 95950

Now multiplying the highest exponent prime factors to calculate the LCM of 95942 and 95950.

LCM(95942,95950) = 2¹ × 7² × 11¹ × 89¹ × 5² × 19¹ × 101¹
LCM(95942,95950) = 4602817450