What is the Least Common Multiple of 13046 and 13059?

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 13046 and 13059 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13046 and 13059, than apply into the LCM equation.

GCF(13046,13059) = 1
LCM(13046,13059) = ( 13046 × 13059) / 1
LCM(13046,13059) = 170367714 / 1
LCM(13046,13059) = 170367714

Least Common Multiple (LCM) of 13046 and 13059 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13046 and 13059. First we will calculate the prime factors of 13046 and 13059.

Prime Factorization of 13046

Prime Factorization of 13059

Now multiplying the highest exponent prime factors to calculate the LCM of 13046 and 13059.

LCM(13046,13059) = 2¹ × 11¹ × 593¹ × 3² × 1451¹
LCM(13046,13059) = 170367714