What is the Least Common Multiple of 13142 and 13149?

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 13142 and 13149 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13142 and 13149, than apply into the LCM equation.

GCF(13142,13149) = 1
LCM(13142,13149) = ( 13142 × 13149) / 1
LCM(13142,13149) = 172804158 / 1
LCM(13142,13149) = 172804158

Least Common Multiple (LCM) of 13142 and 13149 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13142 and 13149. First we will calculate the prime factors of 13142 and 13149.

Prime Factorization of 13142

Prime Factorization of 13149

Now multiplying the highest exponent prime factors to calculate the LCM of 13142 and 13149.

LCM(13142,13149) = 2¹ × 6571¹ × 3³ × 487¹
LCM(13142,13149) = 172804158