What is the Least Common Multiple of 29342 and 29346?

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 29342 and 29346 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29342 and 29346, than apply into the LCM equation.

GCF(29342,29346) = 2
LCM(29342,29346) = ( 29342 × 29346) / 2
LCM(29342,29346) = 861070332 / 2
LCM(29342,29346) = 430535166

Least Common Multiple (LCM) of 29342 and 29346 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29342 and 29346. First we will calculate the prime factors of 29342 and 29346.

Prime Factorization of 29342

Prime Factorization of 29346

Now multiplying the highest exponent prime factors to calculate the LCM of 29342 and 29346.

LCM(29342,29346) = 2¹ × 17¹ × 863¹ × 3¹ × 67¹ × 73¹
LCM(29342,29346) = 430535166