What is the Least Common Multiple of 95925 and 95942?

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 95925 and 95942 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95925 and 95942, than apply into the LCM equation.

GCF(95925,95942) = 1
LCM(95925,95942) = ( 95925 × 95942) / 1
LCM(95925,95942) = 9203236350 / 1
LCM(95925,95942) = 9203236350

Least Common Multiple (LCM) of 95925 and 95942 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95925 and 95942. First we will calculate the prime factors of 95925 and 95942.

Prime Factorization of 95925

Prime Factorization of 95942

Now multiplying the highest exponent prime factors to calculate the LCM of 95925 and 95942.

LCM(95925,95942) = 3¹ × 5² × 1279¹ × 2¹ × 7² × 11¹ × 89¹
LCM(95925,95942) = 9203236350