What is the Least Common Multiple of 95940 and 95954?

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 95940 and 95954 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95940 and 95954, than apply into the LCM equation.

GCF(95940,95954) = 2
LCM(95940,95954) = ( 95940 × 95954) / 2
LCM(95940,95954) = 9205826760 / 2
LCM(95940,95954) = 4602913380

Least Common Multiple (LCM) of 95940 and 95954 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95940 and 95954. First we will calculate the prime factors of 95940 and 95954.

Prime Factorization of 95940

Prime Factorization of 95954

Now multiplying the highest exponent prime factors to calculate the LCM of 95940 and 95954.

LCM(95940,95954) = 2² × 3² × 5¹ × 13¹ × 41¹ × 47977¹
LCM(95940,95954) = 4602913380