What is the Least Common Multiple of 4995 and 5005?

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 4995 and 5005 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4995 and 5005, than apply into the LCM equation.

GCF(4995,5005) = 5
LCM(4995,5005) = ( 4995 × 5005) / 5
LCM(4995,5005) = 24999975 / 5
LCM(4995,5005) = 4999995

Least Common Multiple (LCM) of 4995 and 5005 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4995 and 5005. First we will calculate the prime factors of 4995 and 5005.

Prime Factorization of 4995

Prime Factorization of 5005

Now multiplying the highest exponent prime factors to calculate the LCM of 4995 and 5005.

LCM(4995,5005) = 3³ × 5¹ × 37¹ × 7¹ × 11¹ × 13¹
LCM(4995,5005) = 4999995