What is the Least Common Multiple of 63376 and 63394?

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 63376 and 63394 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63376 and 63394, than apply into the LCM equation.

GCF(63376,63394) = 2
LCM(63376,63394) = ( 63376 × 63394) / 2
LCM(63376,63394) = 4017658144 / 2
LCM(63376,63394) = 2008829072

Least Common Multiple (LCM) of 63376 and 63394 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63376 and 63394. First we will calculate the prime factors of 63376 and 63394.

Prime Factorization of 63376

Prime Factorization of 63394

Now multiplying the highest exponent prime factors to calculate the LCM of 63376 and 63394.

LCM(63376,63394) = 2⁴ × 17¹ × 233¹ × 29¹ × 1093¹
LCM(63376,63394) = 2008829072