What is the Least Common Multiple of 13038 and 13058?

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 13038 and 13058 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13038 and 13058, than apply into the LCM equation.

GCF(13038,13058) = 2
LCM(13038,13058) = ( 13038 × 13058) / 2
LCM(13038,13058) = 170250204 / 2
LCM(13038,13058) = 85125102

Least Common Multiple (LCM) of 13038 and 13058 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13038 and 13058. First we will calculate the prime factors of 13038 and 13058.

Prime Factorization of 13038

Prime Factorization of 13058

Now multiplying the highest exponent prime factors to calculate the LCM of 13038 and 13058.

LCM(13038,13058) = 2¹ × 3¹ × 41¹ × 53¹ × 6529¹
LCM(13038,13058) = 85125102