What is the Least Common Multiple of 51394 and 51408?

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 51394 and 51408 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51394 and 51408, than apply into the LCM equation.

GCF(51394,51408) = 14
LCM(51394,51408) = ( 51394 × 51408) / 14
LCM(51394,51408) = 2642062752 / 14
LCM(51394,51408) = 188718768

Least Common Multiple (LCM) of 51394 and 51408 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51394 and 51408. First we will calculate the prime factors of 51394 and 51408.

Prime Factorization of 51394

Prime Factorization of 51408

Now multiplying the highest exponent prime factors to calculate the LCM of 51394 and 51408.

LCM(51394,51408) = 2⁴ × 7¹ × 3671¹ × 3³ × 17¹
LCM(51394,51408) = 188718768