What is the Least Common Multiple of 5020 and 5038?

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 5020 and 5038 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5020 and 5038, than apply into the LCM equation.

GCF(5020,5038) = 2
LCM(5020,5038) = ( 5020 × 5038) / 2
LCM(5020,5038) = 25290760 / 2
LCM(5020,5038) = 12645380

Least Common Multiple (LCM) of 5020 and 5038 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5020 and 5038. First we will calculate the prime factors of 5020 and 5038.

Prime Factorization of 5020

Prime Factorization of 5038

Now multiplying the highest exponent prime factors to calculate the LCM of 5020 and 5038.

LCM(5020,5038) = 2² × 5¹ × 251¹ × 11¹ × 229¹
LCM(5020,5038) = 12645380