What is the Least Common Multiple of 50985 and 51000?

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 50985 and 51000 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50985 and 51000, than apply into the LCM equation.

GCF(50985,51000) = 15
LCM(50985,51000) = ( 50985 × 51000) / 15
LCM(50985,51000) = 2600235000 / 15
LCM(50985,51000) = 173349000

Least Common Multiple (LCM) of 50985 and 51000 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50985 and 51000. First we will calculate the prime factors of 50985 and 51000.

Prime Factorization of 50985

Prime Factorization of 51000

Now multiplying the highest exponent prime factors to calculate the LCM of 50985 and 51000.

LCM(50985,51000) = 3² × 5³ × 11¹ × 103¹ × 2³ × 17¹
LCM(50985,51000) = 173349000