What is the Least Common Multiple of 63333 and 63347?

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 63333 and 63347 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63333 and 63347, than apply into the LCM equation.

GCF(63333,63347) = 1
LCM(63333,63347) = ( 63333 × 63347) / 1
LCM(63333,63347) = 4011955551 / 1
LCM(63333,63347) = 4011955551

Least Common Multiple (LCM) of 63333 and 63347 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63333 and 63347. First we will calculate the prime factors of 63333 and 63347.

Prime Factorization of 63333

Prime Factorization of 63347

Now multiplying the highest exponent prime factors to calculate the LCM of 63333 and 63347.

LCM(63333,63347) = 3² × 31¹ × 227¹ × 63347¹
LCM(63333,63347) = 4011955551