GCF and LCM Calculator Logo

What is the Least Common Multiple of 28331 and 28336?

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 28331 and 28336 is 802787216.

LCM(28331,28336) = 802787216

LCM Calculator and
and

Least Common Multiple of 28331 and 28336 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28331 and 28336, than apply into the LCM equation.

GCF(28331,28336) = 1
LCM(28331,28336) = ( 28331 × 28336) / 1
LCM(28331,28336) = 802787216 / 1
LCM(28331,28336) = 802787216

Least Common Multiple (LCM) of 28331 and 28336 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28331 and 28336. First we will calculate the prime factors of 28331 and 28336.

Prime Factorization of 28331

Prime factors of 28331 are 41, 691. Prime factorization of 28331 in exponential form is:

28331 = 411 × 6911

Prime Factorization of 28336

Prime factors of 28336 are 2, 7, 11, 23. Prime factorization of 28336 in exponential form is:

28336 = 24 × 71 × 111 × 231

Now multiplying the highest exponent prime factors to calculate the LCM of 28331 and 28336.

LCM(28331,28336) = 411 × 6911 × 24 × 71 × 111 × 231
LCM(28331,28336) = 802787216