What is the Least Common Multiple of 13026 and 13042?

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 13026 and 13042 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13026 and 13042, than apply into the LCM equation.

GCF(13026,13042) = 2
LCM(13026,13042) = ( 13026 × 13042) / 2
LCM(13026,13042) = 169885092 / 2
LCM(13026,13042) = 84942546

Least Common Multiple (LCM) of 13026 and 13042 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13026 and 13042. First we will calculate the prime factors of 13026 and 13042.

Prime Factorization of 13026

Prime Factorization of 13042

Now multiplying the highest exponent prime factors to calculate the LCM of 13026 and 13042.

LCM(13026,13042) = 2¹ × 3¹ × 13¹ × 167¹ × 6521¹
LCM(13026,13042) = 84942546