GCF and LCM Calculator Logo

What is the Least Common Multiple of 63083 and 63089?

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 63083 and 63089 is 3979843387.

LCM(63083,63089) = 3979843387

LCM Calculator and
and

Least Common Multiple of 63083 and 63089 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63083 and 63089, than apply into the LCM equation.

GCF(63083,63089) = 1
LCM(63083,63089) = ( 63083 × 63089) / 1
LCM(63083,63089) = 3979843387 / 1
LCM(63083,63089) = 3979843387

Least Common Multiple (LCM) of 63083 and 63089 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63083 and 63089. First we will calculate the prime factors of 63083 and 63089.

Prime Factorization of 63083

Prime factors of 63083 are 199, 317. Prime factorization of 63083 in exponential form is:

63083 = 1991 × 3171

Prime Factorization of 63089

Prime factors of 63089 are 13, 23, 211. Prime factorization of 63089 in exponential form is:

63089 = 131 × 231 × 2111

Now multiplying the highest exponent prime factors to calculate the LCM of 63083 and 63089.

LCM(63083,63089) = 1991 × 3171 × 131 × 231 × 2111
LCM(63083,63089) = 3979843387