What is the Least Common Multiple of 95900 and 95910?

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 95900 and 95910 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95900 and 95910, than apply into the LCM equation.

GCF(95900,95910) = 10
LCM(95900,95910) = ( 95900 × 95910) / 10
LCM(95900,95910) = 9197769000 / 10
LCM(95900,95910) = 919776900

Least Common Multiple (LCM) of 95900 and 95910 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95900 and 95910. First we will calculate the prime factors of 95900 and 95910.

Prime Factorization of 95900

Prime Factorization of 95910

Now multiplying the highest exponent prime factors to calculate the LCM of 95900 and 95910.

LCM(95900,95910) = 2² × 5² × 7¹ × 137¹ × 3¹ × 23¹ × 139¹
LCM(95900,95910) = 919776900