What is the Least Common Multiple of 63333 and 63349?

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 63349 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 63349, than apply into the LCM equation.

GCF(63333,63349) = 1
LCM(63333,63349) = ( 63333 × 63349) / 1
LCM(63333,63349) = 4012082217 / 1
LCM(63333,63349) = 4012082217

Least Common Multiple (LCM) of 63333 and 63349 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63333 and 63349. First we will calculate the prime factors of 63333 and 63349.

Prime Factorization of 63333

Prime Factorization of 63349

Now multiplying the highest exponent prime factors to calculate the LCM of 63333 and 63349.

LCM(63333,63349) = 3² × 31¹ × 227¹ × 11¹ × 13¹ × 443¹
LCM(63333,63349) = 4012082217