What is the Least Common Multiple of 34130 and 34149?

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 34130 and 34149 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34130 and 34149, than apply into the LCM equation.

GCF(34130,34149) = 1
LCM(34130,34149) = ( 34130 × 34149) / 1
LCM(34130,34149) = 1165505370 / 1
LCM(34130,34149) = 1165505370

Least Common Multiple (LCM) of 34130 and 34149 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34130 and 34149. First we will calculate the prime factors of 34130 and 34149.

Prime Factorization of 34130

Prime Factorization of 34149

Now multiplying the highest exponent prime factors to calculate the LCM of 34130 and 34149.

LCM(34130,34149) = 2¹ × 5¹ × 3413¹ × 3¹ × 11383¹
LCM(34130,34149) = 1165505370