What is the Least Common Multiple of 95100 and 95109?

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 95100 and 95109 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95100 and 95109, than apply into the LCM equation.

GCF(95100,95109) = 3
LCM(95100,95109) = ( 95100 × 95109) / 3
LCM(95100,95109) = 9044865900 / 3
LCM(95100,95109) = 3014955300

Least Common Multiple (LCM) of 95100 and 95109 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95100 and 95109. First we will calculate the prime factors of 95100 and 95109.

Prime Factorization of 95100

Prime Factorization of 95109

Now multiplying the highest exponent prime factors to calculate the LCM of 95100 and 95109.

LCM(95100,95109) = 2² × 3¹ × 5² × 317¹ × 7² × 647¹
LCM(95100,95109) = 3014955300