What is the Least Common Multiple of 93144 and 93150?

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 93144 and 93150 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93144 and 93150, than apply into the LCM equation.

GCF(93144,93150) = 6
LCM(93144,93150) = ( 93144 × 93150) / 6
LCM(93144,93150) = 8676363600 / 6
LCM(93144,93150) = 1446060600

Least Common Multiple (LCM) of 93144 and 93150 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93144 and 93150. First we will calculate the prime factors of 93144 and 93150.

Prime Factorization of 93144

Prime Factorization of 93150

Now multiplying the highest exponent prime factors to calculate the LCM of 93144 and 93150.

LCM(93144,93150) = 2³ × 3⁴ × 3881¹ × 5² × 23¹
LCM(93144,93150) = 1446060600