GCF and LCM Calculator Logo

What is the Least Common Multiple of 10445 and 10463?

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 10445 and 10463 is 109286035.

LCM(10445,10463) = 109286035

LCM Calculator and
and

Least Common Multiple of 10445 and 10463 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10445 and 10463, than apply into the LCM equation.

GCF(10445,10463) = 1
LCM(10445,10463) = ( 10445 × 10463) / 1
LCM(10445,10463) = 109286035 / 1
LCM(10445,10463) = 109286035

Least Common Multiple (LCM) of 10445 and 10463 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10445 and 10463. First we will calculate the prime factors of 10445 and 10463.

Prime Factorization of 10445

Prime factors of 10445 are 5, 2089. Prime factorization of 10445 in exponential form is:

10445 = 51 × 20891

Prime Factorization of 10463

Prime factors of 10463 are 10463. Prime factorization of 10463 in exponential form is:

10463 = 104631

Now multiplying the highest exponent prime factors to calculate the LCM of 10445 and 10463.

LCM(10445,10463) = 51 × 20891 × 104631
LCM(10445,10463) = 109286035