What is the Least Common Multiple of 93000 and 93015?

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 93000 and 93015 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93000 and 93015, than apply into the LCM equation.

GCF(93000,93015) = 15
LCM(93000,93015) = ( 93000 × 93015) / 15
LCM(93000,93015) = 8650395000 / 15
LCM(93000,93015) = 576693000

Least Common Multiple (LCM) of 93000 and 93015 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93000 and 93015. First we will calculate the prime factors of 93000 and 93015.

Prime Factorization of 93000

Prime Factorization of 93015

Now multiplying the highest exponent prime factors to calculate the LCM of 93000 and 93015.

LCM(93000,93015) = 2³ × 3³ × 5³ × 31¹ × 13¹ × 53¹
LCM(93000,93015) = 576693000