GCF and LCM Calculator Logo

What is the Least Common Multiple of 10209 and 10229?

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 10209 and 10229 is 104427861.

LCM(10209,10229) = 104427861

LCM Calculator and
and

Least Common Multiple of 10209 and 10229 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10209 and 10229, than apply into the LCM equation.

GCF(10209,10229) = 1
LCM(10209,10229) = ( 10209 × 10229) / 1
LCM(10209,10229) = 104427861 / 1
LCM(10209,10229) = 104427861

Least Common Multiple (LCM) of 10209 and 10229 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10209 and 10229. First we will calculate the prime factors of 10209 and 10229.

Prime Factorization of 10209

Prime factors of 10209 are 3, 41, 83. Prime factorization of 10209 in exponential form is:

10209 = 31 × 411 × 831

Prime Factorization of 10229

Prime factors of 10229 are 53, 193. Prime factorization of 10229 in exponential form is:

10229 = 531 × 1931

Now multiplying the highest exponent prime factors to calculate the LCM of 10209 and 10229.

LCM(10209,10229) = 31 × 411 × 831 × 531 × 1931
LCM(10209,10229) = 104427861