GCF and LCM Calculator Logo

What is the Least Common Multiple of 63333 and 63353?

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 (LCM) of 63333 and 63353 is 4012335549.

LCM(63333,63353) = 4012335549

LCM Calculator and
and

Least Common Multiple of 63333 and 63353 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 63353, than apply into the LCM equation.

GCF(63333,63353) = 1
LCM(63333,63353) = ( 63333 × 63353) / 1
LCM(63333,63353) = 4012335549 / 1
LCM(63333,63353) = 4012335549

Least Common Multiple (LCM) of 63333 and 63353 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63333 and 63353. First we will calculate the prime factors of 63333 and 63353.

Prime Factorization of 63333

Prime factors of 63333 are 3, 31, 227. Prime factorization of 63333 in exponential form is:

63333 = 32 × 311 × 2271

Prime Factorization of 63353

Prime factors of 63353 are 63353. Prime factorization of 63353 in exponential form is:

63353 = 633531

Now multiplying the highest exponent prime factors to calculate the LCM of 63333 and 63353.

LCM(63333,63353) = 32 × 311 × 2271 × 633531
LCM(63333,63353) = 4012335549