What is the Least Common Multiple of 5019 and 5036?

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 5019 and 5036 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5019 and 5036, than apply into the LCM equation.

GCF(5019,5036) = 1
LCM(5019,5036) = ( 5019 × 5036) / 1
LCM(5019,5036) = 25275684 / 1
LCM(5019,5036) = 25275684

Least Common Multiple (LCM) of 5019 and 5036 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5019 and 5036. First we will calculate the prime factors of 5019 and 5036.

Prime Factorization of 5019

Prime Factorization of 5036

Now multiplying the highest exponent prime factors to calculate the LCM of 5019 and 5036.

LCM(5019,5036) = 3¹ × 7¹ × 239¹ × 2² × 1259¹
LCM(5019,5036) = 25275684