GCF and LCM Calculator Logo

What is the Least Common Multiple of 6319 and 6328?

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 6319 and 6328 is 39986632.

LCM(6319,6328) = 39986632

LCM Calculator and
and

Least Common Multiple of 6319 and 6328 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6319 and 6328, than apply into the LCM equation.

GCF(6319,6328) = 1
LCM(6319,6328) = ( 6319 × 6328) / 1
LCM(6319,6328) = 39986632 / 1
LCM(6319,6328) = 39986632

Least Common Multiple (LCM) of 6319 and 6328 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6319 and 6328. First we will calculate the prime factors of 6319 and 6328.

Prime Factorization of 6319

Prime factors of 6319 are 71, 89. Prime factorization of 6319 in exponential form is:

6319 = 711 × 891

Prime Factorization of 6328

Prime factors of 6328 are 2, 7, 113. Prime factorization of 6328 in exponential form is:

6328 = 23 × 71 × 1131

Now multiplying the highest exponent prime factors to calculate the LCM of 6319 and 6328.

LCM(6319,6328) = 711 × 891 × 23 × 71 × 1131
LCM(6319,6328) = 39986632