GCF and LCM Calculator Logo

What is the Least Common Multiple of 28911 and 28922?

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 28911 and 28922 is 836163942.

LCM(28911,28922) = 836163942

LCM Calculator and
and

Least Common Multiple of 28911 and 28922 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28911 and 28922, than apply into the LCM equation.

GCF(28911,28922) = 1
LCM(28911,28922) = ( 28911 × 28922) / 1
LCM(28911,28922) = 836163942 / 1
LCM(28911,28922) = 836163942

Least Common Multiple (LCM) of 28911 and 28922 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28911 and 28922. First we will calculate the prime factors of 28911 and 28922.

Prime Factorization of 28911

Prime factors of 28911 are 3, 23, 419. Prime factorization of 28911 in exponential form is:

28911 = 31 × 231 × 4191

Prime Factorization of 28922

Prime factors of 28922 are 2, 14461. Prime factorization of 28922 in exponential form is:

28922 = 21 × 144611

Now multiplying the highest exponent prime factors to calculate the LCM of 28911 and 28922.

LCM(28911,28922) = 31 × 231 × 4191 × 21 × 144611
LCM(28911,28922) = 836163942