GCF and LCM Calculator Logo

What is the Least Common Multiple of 6363 and 6379?

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 6363 and 6379 is 40589577.

LCM(6363,6379) = 40589577

LCM Calculator and
and

Least Common Multiple of 6363 and 6379 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6363 and 6379, than apply into the LCM equation.

GCF(6363,6379) = 1
LCM(6363,6379) = ( 6363 × 6379) / 1
LCM(6363,6379) = 40589577 / 1
LCM(6363,6379) = 40589577

Least Common Multiple (LCM) of 6363 and 6379 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6363 and 6379. First we will calculate the prime factors of 6363 and 6379.

Prime Factorization of 6363

Prime factors of 6363 are 3, 7, 101. Prime factorization of 6363 in exponential form is:

6363 = 32 × 71 × 1011

Prime Factorization of 6379

Prime factors of 6379 are 6379. Prime factorization of 6379 in exponential form is:

6379 = 63791

Now multiplying the highest exponent prime factors to calculate the LCM of 6363 and 6379.

LCM(6363,6379) = 32 × 71 × 1011 × 63791
LCM(6363,6379) = 40589577