GCF and LCM Calculator Logo

What is the Least Common Multiple of 22834 and 22843?

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 22834 and 22843 is 521597062.

LCM(22834,22843) = 521597062

LCM Calculator and
and

Least Common Multiple of 22834 and 22843 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22834 and 22843, than apply into the LCM equation.

GCF(22834,22843) = 1
LCM(22834,22843) = ( 22834 × 22843) / 1
LCM(22834,22843) = 521597062 / 1
LCM(22834,22843) = 521597062

Least Common Multiple (LCM) of 22834 and 22843 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22834 and 22843. First we will calculate the prime factors of 22834 and 22843.

Prime Factorization of 22834

Prime factors of 22834 are 2, 7, 233. Prime factorization of 22834 in exponential form is:

22834 = 21 × 72 × 2331

Prime Factorization of 22843

Prime factors of 22843 are 53, 431. Prime factorization of 22843 in exponential form is:

22843 = 531 × 4311

Now multiplying the highest exponent prime factors to calculate the LCM of 22834 and 22843.

LCM(22834,22843) = 21 × 72 × 2331 × 531 × 4311
LCM(22834,22843) = 521597062