What is the Least Common Multiple of 69000 and 69015?

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 69000 and 69015 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69000 and 69015, than apply into the LCM equation.

GCF(69000,69015) = 15
LCM(69000,69015) = ( 69000 × 69015) / 15
LCM(69000,69015) = 4762035000 / 15
LCM(69000,69015) = 317469000

Least Common Multiple (LCM) of 69000 and 69015 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69000 and 69015. First we will calculate the prime factors of 69000 and 69015.

Prime Factorization of 69000

Prime Factorization of 69015

Now multiplying the highest exponent prime factors to calculate the LCM of 69000 and 69015.

LCM(69000,69015) = 2³ × 3¹ × 5³ × 23¹ × 43¹ × 107¹
LCM(69000,69015) = 317469000