GCF and LCM Calculator Logo

What is the Least Common Multiple of 28407 and 28418?

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 28407 and 28418 is 807270126.

LCM(28407,28418) = 807270126

LCM Calculator and
and

Least Common Multiple of 28407 and 28418 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28407 and 28418, than apply into the LCM equation.

GCF(28407,28418) = 1
LCM(28407,28418) = ( 28407 × 28418) / 1
LCM(28407,28418) = 807270126 / 1
LCM(28407,28418) = 807270126

Least Common Multiple (LCM) of 28407 and 28418 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28407 and 28418. First we will calculate the prime factors of 28407 and 28418.

Prime Factorization of 28407

Prime factors of 28407 are 3, 17, 557. Prime factorization of 28407 in exponential form is:

28407 = 31 × 171 × 5571

Prime Factorization of 28418

Prime factors of 28418 are 2, 13, 1093. Prime factorization of 28418 in exponential form is:

28418 = 21 × 131 × 10931

Now multiplying the highest exponent prime factors to calculate the LCM of 28407 and 28418.

LCM(28407,28418) = 31 × 171 × 5571 × 21 × 131 × 10931
LCM(28407,28418) = 807270126