GCF and LCM Calculator Logo

What is the Least Common Multiple of 28409 and 28427?

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 28409 and 28427 is 807582643.

LCM(28409,28427) = 807582643

LCM Calculator and
and

Least Common Multiple of 28409 and 28427 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28409 and 28427, than apply into the LCM equation.

GCF(28409,28427) = 1
LCM(28409,28427) = ( 28409 × 28427) / 1
LCM(28409,28427) = 807582643 / 1
LCM(28409,28427) = 807582643

Least Common Multiple (LCM) of 28409 and 28427 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28409 and 28427. First we will calculate the prime factors of 28409 and 28427.

Prime Factorization of 28409

Prime factors of 28409 are 28409. Prime factorization of 28409 in exponential form is:

28409 = 284091

Prime Factorization of 28427

Prime factors of 28427 are 7, 31, 131. Prime factorization of 28427 in exponential form is:

28427 = 71 × 311 × 1311

Now multiplying the highest exponent prime factors to calculate the LCM of 28409 and 28427.

LCM(28409,28427) = 284091 × 71 × 311 × 1311
LCM(28409,28427) = 807582643