GCF and LCM Calculator Logo

What is the Least Common Multiple of 28394 and 28411?

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 28394 and 28411 is 806701934.

LCM(28394,28411) = 806701934

LCM Calculator and
and

Least Common Multiple of 28394 and 28411 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28394 and 28411, than apply into the LCM equation.

GCF(28394,28411) = 1
LCM(28394,28411) = ( 28394 × 28411) / 1
LCM(28394,28411) = 806701934 / 1
LCM(28394,28411) = 806701934

Least Common Multiple (LCM) of 28394 and 28411 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28394 and 28411. First we will calculate the prime factors of 28394 and 28411.

Prime Factorization of 28394

Prime factors of 28394 are 2, 14197. Prime factorization of 28394 in exponential form is:

28394 = 21 × 141971

Prime Factorization of 28411

Prime factors of 28411 are 28411. Prime factorization of 28411 in exponential form is:

28411 = 284111

Now multiplying the highest exponent prime factors to calculate the LCM of 28394 and 28411.

LCM(28394,28411) = 21 × 141971 × 284111
LCM(28394,28411) = 806701934