GCF and LCM Calculator Logo

What is the Least Common Multiple of 27809 and 27821?

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 27809 and 27821 is 773674189.

LCM(27809,27821) = 773674189

LCM Calculator and
and

Least Common Multiple of 27809 and 27821 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27809 and 27821, than apply into the LCM equation.

GCF(27809,27821) = 1
LCM(27809,27821) = ( 27809 × 27821) / 1
LCM(27809,27821) = 773674189 / 1
LCM(27809,27821) = 773674189

Least Common Multiple (LCM) of 27809 and 27821 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27809 and 27821. First we will calculate the prime factors of 27809 and 27821.

Prime Factorization of 27809

Prime factors of 27809 are 27809. Prime factorization of 27809 in exponential form is:

27809 = 278091

Prime Factorization of 27821

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

27821 = 431 × 6471

Now multiplying the highest exponent prime factors to calculate the LCM of 27809 and 27821.

LCM(27809,27821) = 278091 × 431 × 6471
LCM(27809,27821) = 773674189