What is the Least Common Multiple of 95924 and 95940?

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 95924 and 95940 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95924 and 95940, than apply into the LCM equation.

GCF(95924,95940) = 4
LCM(95924,95940) = ( 95924 × 95940) / 4
LCM(95924,95940) = 9202948560 / 4
LCM(95924,95940) = 2300737140

Least Common Multiple (LCM) of 95924 and 95940 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95924 and 95940. First we will calculate the prime factors of 95924 and 95940.

Prime Factorization of 95924

Prime Factorization of 95940

Now multiplying the highest exponent prime factors to calculate the LCM of 95924 and 95940.

LCM(95924,95940) = 2² × 23981¹ × 3² × 5¹ × 13¹ × 41¹
LCM(95924,95940) = 2300737140