What is the Least Common Multiple of 50000 and 50010?

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 50000 and 50010 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50000 and 50010, than apply into the LCM equation.

GCF(50000,50010) = 10
LCM(50000,50010) = ( 50000 × 50010) / 10
LCM(50000,50010) = 2500500000 / 10
LCM(50000,50010) = 250050000

Least Common Multiple (LCM) of 50000 and 50010 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50000 and 50010. First we will calculate the prime factors of 50000 and 50010.

Prime Factorization of 50000

Prime Factorization of 50010

Now multiplying the highest exponent prime factors to calculate the LCM of 50000 and 50010.

LCM(50000,50010) = 2⁴ × 5⁵ × 3¹ × 1667¹
LCM(50000,50010) = 250050000