GCF and LCM Calculator Logo

What is the Least Common Multiple of 8883 and 8891?

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 8883 and 8891 is 78978753.

LCM(8883,8891) = 78978753

LCM Calculator and
and

Least Common Multiple of 8883 and 8891 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8883 and 8891, than apply into the LCM equation.

GCF(8883,8891) = 1
LCM(8883,8891) = ( 8883 × 8891) / 1
LCM(8883,8891) = 78978753 / 1
LCM(8883,8891) = 78978753

Least Common Multiple (LCM) of 8883 and 8891 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8883 and 8891. First we will calculate the prime factors of 8883 and 8891.

Prime Factorization of 8883

Prime factors of 8883 are 3, 7, 47. Prime factorization of 8883 in exponential form is:

8883 = 33 × 71 × 471

Prime Factorization of 8891

Prime factors of 8891 are 17, 523. Prime factorization of 8891 in exponential form is:

8891 = 171 × 5231

Now multiplying the highest exponent prime factors to calculate the LCM of 8883 and 8891.

LCM(8883,8891) = 33 × 71 × 471 × 171 × 5231
LCM(8883,8891) = 78978753