What is the Least Common Multiple of 63316 and 63326?

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 63316 and 63326 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63316 and 63326, than apply into the LCM equation.

GCF(63316,63326) = 2
LCM(63316,63326) = ( 63316 × 63326) / 2
LCM(63316,63326) = 4009549016 / 2
LCM(63316,63326) = 2004774508

Least Common Multiple (LCM) of 63316 and 63326 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63316 and 63326. First we will calculate the prime factors of 63316 and 63326.

Prime Factorization of 63316

Prime Factorization of 63326

Now multiplying the highest exponent prime factors to calculate the LCM of 63316 and 63326.

LCM(63316,63326) = 2² × 11¹ × 1439¹ × 31663¹
LCM(63316,63326) = 2004774508