GCF and LCM Calculator Logo

What is the Least Common Multiple of 8911 and 8931?

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 8911 and 8931 is 79584141.

LCM(8911,8931) = 79584141

LCM Calculator and
and

Least Common Multiple of 8911 and 8931 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8911 and 8931, than apply into the LCM equation.

GCF(8911,8931) = 1
LCM(8911,8931) = ( 8911 × 8931) / 1
LCM(8911,8931) = 79584141 / 1
LCM(8911,8931) = 79584141

Least Common Multiple (LCM) of 8911 and 8931 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8911 and 8931. First we will calculate the prime factors of 8911 and 8931.

Prime Factorization of 8911

Prime factors of 8911 are 7, 19, 67. Prime factorization of 8911 in exponential form is:

8911 = 71 × 191 × 671

Prime Factorization of 8931

Prime factors of 8931 are 3, 13, 229. Prime factorization of 8931 in exponential form is:

8931 = 31 × 131 × 2291

Now multiplying the highest exponent prime factors to calculate the LCM of 8911 and 8931.

LCM(8911,8931) = 71 × 191 × 671 × 31 × 131 × 2291
LCM(8911,8931) = 79584141