What is the Least Common Multiple of 29382 and 29394?

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 29382 and 29394 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29382 and 29394, than apply into the LCM equation.

GCF(29382,29394) = 6
LCM(29382,29394) = ( 29382 × 29394) / 6
LCM(29382,29394) = 863654508 / 6
LCM(29382,29394) = 143942418

Least Common Multiple (LCM) of 29382 and 29394 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29382 and 29394. First we will calculate the prime factors of 29382 and 29394.

Prime Factorization of 29382

Prime Factorization of 29394

Now multiplying the highest exponent prime factors to calculate the LCM of 29382 and 29394.

LCM(29382,29394) = 2¹ × 3² × 59¹ × 83¹ × 23¹ × 71¹
LCM(29382,29394) = 143942418