GCF and LCM Calculator Logo

What is the Least Common Multiple of 10063 and 10075?

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 10063 and 10075 is 101384725.

LCM(10063,10075) = 101384725

LCM Calculator and
and

Least Common Multiple of 10063 and 10075 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10063 and 10075, than apply into the LCM equation.

GCF(10063,10075) = 1
LCM(10063,10075) = ( 10063 × 10075) / 1
LCM(10063,10075) = 101384725 / 1
LCM(10063,10075) = 101384725

Least Common Multiple (LCM) of 10063 and 10075 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10063 and 10075. First we will calculate the prime factors of 10063 and 10075.

Prime Factorization of 10063

Prime factors of 10063 are 29, 347. Prime factorization of 10063 in exponential form is:

10063 = 291 × 3471

Prime Factorization of 10075

Prime factors of 10075 are 5, 13, 31. Prime factorization of 10075 in exponential form is:

10075 = 52 × 131 × 311

Now multiplying the highest exponent prime factors to calculate the LCM of 10063 and 10075.

LCM(10063,10075) = 291 × 3471 × 52 × 131 × 311
LCM(10063,10075) = 101384725