What is the Least Common Multiple of 95800 and 95807?

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 95800 and 95807 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95800 and 95807, than apply into the LCM equation.

GCF(95800,95807) = 1
LCM(95800,95807) = ( 95800 × 95807) / 1
LCM(95800,95807) = 9178310600 / 1
LCM(95800,95807) = 9178310600

Least Common Multiple (LCM) of 95800 and 95807 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95800 and 95807. First we will calculate the prime factors of 95800 and 95807.

Prime Factorization of 95800

Prime Factorization of 95807

Now multiplying the highest exponent prime factors to calculate the LCM of 95800 and 95807.

LCM(95800,95807) = 2³ × 5² × 479¹ × 149¹ × 643¹
LCM(95800,95807) = 9178310600