What is the Least Common Multiple of 13027 and 13046?

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 13027 and 13046 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13027 and 13046, than apply into the LCM equation.

GCF(13027,13046) = 1
LCM(13027,13046) = ( 13027 × 13046) / 1
LCM(13027,13046) = 169950242 / 1
LCM(13027,13046) = 169950242

Least Common Multiple (LCM) of 13027 and 13046 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13027 and 13046. First we will calculate the prime factors of 13027 and 13046.

Prime Factorization of 13027

Prime Factorization of 13046

Now multiplying the highest exponent prime factors to calculate the LCM of 13027 and 13046.

LCM(13027,13046) = 7¹ × 1861¹ × 2¹ × 11¹ × 593¹
LCM(13027,13046) = 169950242