What is the Least Common Multiple of 95400 and 95415?

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 95400 and 95415 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95400 and 95415, than apply into the LCM equation.

GCF(95400,95415) = 15
LCM(95400,95415) = ( 95400 × 95415) / 15
LCM(95400,95415) = 9102591000 / 15
LCM(95400,95415) = 606839400

Least Common Multiple (LCM) of 95400 and 95415 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95400 and 95415. First we will calculate the prime factors of 95400 and 95415.

Prime Factorization of 95400

Prime Factorization of 95415

Now multiplying the highest exponent prime factors to calculate the LCM of 95400 and 95415.

LCM(95400,95415) = 2³ × 3² × 5² × 53¹ × 6361¹
LCM(95400,95415) = 606839400