GCF and LCM Calculator Logo

What is the Least Common Multiple of 10836 and 10842?

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 10836 and 10842 is 19580652.

LCM(10836,10842) = 19580652

LCM Calculator and
and

Least Common Multiple of 10836 and 10842 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10836 and 10842, than apply into the LCM equation.

GCF(10836,10842) = 6
LCM(10836,10842) = ( 10836 × 10842) / 6
LCM(10836,10842) = 117483912 / 6
LCM(10836,10842) = 19580652

Least Common Multiple (LCM) of 10836 and 10842 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10836 and 10842. First we will calculate the prime factors of 10836 and 10842.

Prime Factorization of 10836

Prime factors of 10836 are 2, 3, 7, 43. Prime factorization of 10836 in exponential form is:

10836 = 22 × 32 × 71 × 431

Prime Factorization of 10842

Prime factors of 10842 are 2, 3, 13, 139. Prime factorization of 10842 in exponential form is:

10842 = 21 × 31 × 131 × 1391

Now multiplying the highest exponent prime factors to calculate the LCM of 10836 and 10842.

LCM(10836,10842) = 22 × 32 × 71 × 431 × 131 × 1391
LCM(10836,10842) = 19580652