What is the Least Common Multiple of 4990 and 5000?

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 4990 and 5000 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4990 and 5000, than apply into the LCM equation.

GCF(4990,5000) = 10
LCM(4990,5000) = ( 4990 × 5000) / 10
LCM(4990,5000) = 24950000 / 10
LCM(4990,5000) = 2495000

Least Common Multiple (LCM) of 4990 and 5000 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4990 and 5000. First we will calculate the prime factors of 4990 and 5000.

Prime Factorization of 4990

Prime Factorization of 5000

Now multiplying the highest exponent prime factors to calculate the LCM of 4990 and 5000.

LCM(4990,5000) = 2³ × 5⁴ × 499¹
LCM(4990,5000) = 2495000