What is the Least Common Multiple of 13020 and 13038?

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 13020 and 13038 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13020 and 13038, than apply into the LCM equation.

GCF(13020,13038) = 6
LCM(13020,13038) = ( 13020 × 13038) / 6
LCM(13020,13038) = 169754760 / 6
LCM(13020,13038) = 28292460

Least Common Multiple (LCM) of 13020 and 13038 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13020 and 13038. First we will calculate the prime factors of 13020 and 13038.

Prime Factorization of 13020

Prime Factorization of 13038

Now multiplying the highest exponent prime factors to calculate the LCM of 13020 and 13038.

LCM(13020,13038) = 2² × 3¹ × 5¹ × 7¹ × 31¹ × 41¹ × 53¹
LCM(13020,13038) = 28292460