What is the Least Common Multiple of 63342 and 63356?

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 63342 and 63356 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63342 and 63356, than apply into the LCM equation.

GCF(63342,63356) = 2
LCM(63342,63356) = ( 63342 × 63356) / 2
LCM(63342,63356) = 4013095752 / 2
LCM(63342,63356) = 2006547876

Least Common Multiple (LCM) of 63342 and 63356 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63342 and 63356. First we will calculate the prime factors of 63342 and 63356.

Prime Factorization of 63342

Prime Factorization of 63356

Now multiplying the highest exponent prime factors to calculate the LCM of 63342 and 63356.

LCM(63342,63356) = 2² × 3⁴ × 17¹ × 23¹ × 47¹ × 337¹
LCM(63342,63356) = 2006547876