GCF and LCM Calculator Logo

What is the Least Common Multiple of 10411 and 10422?

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 10411 and 10422 is 108503442.

LCM(10411,10422) = 108503442

LCM Calculator and
and

Least Common Multiple of 10411 and 10422 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10411 and 10422, than apply into the LCM equation.

GCF(10411,10422) = 1
LCM(10411,10422) = ( 10411 × 10422) / 1
LCM(10411,10422) = 108503442 / 1
LCM(10411,10422) = 108503442

Least Common Multiple (LCM) of 10411 and 10422 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10411 and 10422. First we will calculate the prime factors of 10411 and 10422.

Prime Factorization of 10411

Prime factors of 10411 are 29, 359. Prime factorization of 10411 in exponential form is:

10411 = 291 × 3591

Prime Factorization of 10422

Prime factors of 10422 are 2, 3, 193. Prime factorization of 10422 in exponential form is:

10422 = 21 × 33 × 1931

Now multiplying the highest exponent prime factors to calculate the LCM of 10411 and 10422.

LCM(10411,10422) = 291 × 3591 × 21 × 33 × 1931
LCM(10411,10422) = 108503442