What is the Least Common Multiple of 29323 and 29342?

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 29323 and 29342 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29323 and 29342, than apply into the LCM equation.

GCF(29323,29342) = 1
LCM(29323,29342) = ( 29323 × 29342) / 1
LCM(29323,29342) = 860395466 / 1
LCM(29323,29342) = 860395466

Least Common Multiple (LCM) of 29323 and 29342 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29323 and 29342. First we will calculate the prime factors of 29323 and 29342.

Prime Factorization of 29323

Prime Factorization of 29342

Now multiplying the highest exponent prime factors to calculate the LCM of 29323 and 29342.

LCM(29323,29342) = 7¹ × 59¹ × 71¹ × 2¹ × 17¹ × 863¹
LCM(29323,29342) = 860395466