GCF and LCM Calculator Logo

What is the Least Common Multiple of 27821 and 27841?

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 27821 and 27841 is 774564461.

LCM(27821,27841) = 774564461

LCM Calculator and
and

Least Common Multiple of 27821 and 27841 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27821 and 27841, than apply into the LCM equation.

GCF(27821,27841) = 1
LCM(27821,27841) = ( 27821 × 27841) / 1
LCM(27821,27841) = 774564461 / 1
LCM(27821,27841) = 774564461

Least Common Multiple (LCM) of 27821 and 27841 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27821 and 27841. First we will calculate the prime factors of 27821 and 27841.

Prime Factorization of 27821

Prime factors of 27821 are 43, 647. Prime factorization of 27821 in exponential form is:

27821 = 431 × 6471

Prime Factorization of 27841

Prime factors of 27841 are 11, 2531. Prime factorization of 27841 in exponential form is:

27841 = 111 × 25311

Now multiplying the highest exponent prime factors to calculate the LCM of 27821 and 27841.

LCM(27821,27841) = 431 × 6471 × 111 × 25311
LCM(27821,27841) = 774564461