GCF and LCM Calculator Logo

What is the Least Common Multiple of 10209 and 10218?

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 10218 is 34771854.

LCM(10209,10218) = 34771854

LCM Calculator and
and

Least Common Multiple of 10209 and 10218 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 10218, than apply into the LCM equation.

GCF(10209,10218) = 3
LCM(10209,10218) = ( 10209 × 10218) / 3
LCM(10209,10218) = 104315562 / 3
LCM(10209,10218) = 34771854

Least Common Multiple (LCM) of 10209 and 10218 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10209 and 10218. First we will calculate the prime factors of 10209 and 10218.

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 10218

Prime factors of 10218 are 2, 3, 13, 131. Prime factorization of 10218 in exponential form is:

10218 = 21 × 31 × 131 × 1311

Now multiplying the highest exponent prime factors to calculate the LCM of 10209 and 10218.

LCM(10209,10218) = 31 × 411 × 831 × 21 × 131 × 1311
LCM(10209,10218) = 34771854