What is the Least Common Multiple of 49323 and 49342?

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 49323 and 49342 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49323 and 49342, than apply into the LCM equation.

GCF(49323,49342) = 1
LCM(49323,49342) = ( 49323 × 49342) / 1
LCM(49323,49342) = 2433695466 / 1
LCM(49323,49342) = 2433695466

Least Common Multiple (LCM) of 49323 and 49342 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49323 and 49342. First we will calculate the prime factors of 49323 and 49342.

Prime Factorization of 49323

Prime Factorization of 49342

Now multiplying the highest exponent prime factors to calculate the LCM of 49323 and 49342.

LCM(49323,49342) = 3¹ × 41¹ × 401¹ × 2¹ × 24671¹
LCM(49323,49342) = 2433695466