What is the Least Common Multiple of 29334 and 29345?

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 29334 and 29345 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29334 and 29345, than apply into the LCM equation.

GCF(29334,29345) = 1
LCM(29334,29345) = ( 29334 × 29345) / 1
LCM(29334,29345) = 860806230 / 1
LCM(29334,29345) = 860806230

Least Common Multiple (LCM) of 29334 and 29345 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29334 and 29345. First we will calculate the prime factors of 29334 and 29345.

Prime Factorization of 29334

Prime Factorization of 29345

Now multiplying the highest exponent prime factors to calculate the LCM of 29334 and 29345.

LCM(29334,29345) = 2¹ × 3¹ × 4889¹ × 5¹ × 5869¹
LCM(29334,29345) = 860806230