What is the Least Common Multiple of 50991 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 50991 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 50991 and 51000, than apply into the LCM equation.

GCF(50991,51000) = 3
LCM(50991,51000) = ( 50991 × 51000) / 3
LCM(50991,51000) = 2600541000 / 3
LCM(50991,51000) = 866847000

Least Common Multiple (LCM) of 50991 and 51000 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50991 and 51000. First we will calculate the prime factors of 50991 and 51000.

Prime Factorization of 50991

Prime Factorization of 51000

Now multiplying the highest exponent prime factors to calculate the LCM of 50991 and 51000.

LCM(50991,51000) = 3¹ × 23¹ × 739¹ × 2³ × 5³ × 17¹
LCM(50991,51000) = 866847000