What is the Least Common Multiple of 23394 and 23408?

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 23394 and 23408 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23394 and 23408, than apply into the LCM equation.

GCF(23394,23408) = 14
LCM(23394,23408) = ( 23394 × 23408) / 14
LCM(23394,23408) = 547606752 / 14
LCM(23394,23408) = 39114768

Least Common Multiple (LCM) of 23394 and 23408 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23394 and 23408. First we will calculate the prime factors of 23394 and 23408.

Prime Factorization of 23394

Prime Factorization of 23408

Now multiplying the highest exponent prime factors to calculate the LCM of 23394 and 23408.

LCM(23394,23408) = 2⁴ × 3¹ × 7¹ × 557¹ × 11¹ × 19¹
LCM(23394,23408) = 39114768