What is the Least Common Multiple of 93396 and 93414?

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 93396 and 93414 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93396 and 93414, than apply into the LCM equation.

GCF(93396,93414) = 6
LCM(93396,93414) = ( 93396 × 93414) / 6
LCM(93396,93414) = 8724493944 / 6
LCM(93396,93414) = 1454082324

Least Common Multiple (LCM) of 93396 and 93414 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93396 and 93414. First we will calculate the prime factors of 93396 and 93414.

Prime Factorization of 93396

Prime Factorization of 93414

Now multiplying the highest exponent prime factors to calculate the LCM of 93396 and 93414.

LCM(93396,93414) = 2² × 3¹ × 43¹ × 181¹ × 15569¹
LCM(93396,93414) = 1454082324