What is the Least Common Multiple of 20394 and 20412?

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 20394 and 20412 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20394 and 20412, than apply into the LCM equation.

GCF(20394,20412) = 18
LCM(20394,20412) = ( 20394 × 20412) / 18
LCM(20394,20412) = 416282328 / 18
LCM(20394,20412) = 23126796

Least Common Multiple (LCM) of 20394 and 20412 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20394 and 20412. First we will calculate the prime factors of 20394 and 20412.

Prime Factorization of 20394

Prime Factorization of 20412

Now multiplying the highest exponent prime factors to calculate the LCM of 20394 and 20412.

LCM(20394,20412) = 2² × 3⁶ × 11¹ × 103¹ × 7¹
LCM(20394,20412) = 23126796