Least Common Multiple of 8891 and 8896

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8891 and 8896 the smallest integer that is 79094336 that is divisible by both numbers.

Least Common Multiple (LCM) of 8891 and 8896 is 79094336.

LCM(8891,8896) = 79094336

LCM of 8891 and 8896

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 8891 and 8896

LCM of 8891 and 8896 is 79094336

Least common multiple can be found by multiplying the highest exponent prime factors of 8891 and 8896. First we will calculate the prime factors of 8891 and 8896.

Prime Factorization of 8891


17 8891
523 523
1

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

8891 = 171×5231

Prime Factorization of 8896


2 8896
2 4448
2 2224
2 1112
2 556
2 278
139 139
1

Prime factors of 8896 are 2,139. Prime factorization of 8896 in exponential form is:

8896 = 26×1391

Now multiplying the highest exponent prime factors to calculate the LCM of 8891 and 8896.

LCM(8891,8896) = 26×171×1391×5231
LCM(8891,8896) = 79094336

Factors of 8891

List of positive integer factors of 8891 that divides 8891 without a remainder.

1, 17, 523, 8891

Factors of 8896

List of positive integer factors of 8896 that divides 8896 without a remainder.

1, 2, 4, 8, 16, 32, 64, 139, 278, 556, 1112, 2224, 4448, 8896

Least Common Multiple of 8891 and 8896 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8891 and 8896, than apply into the LCM equation.

GCF(8891,8896) = 1
LCM(8891,8896) = ( 8891 × 8896) / 1
LCM(8891,8896) = 79094336 / 1
LCM(8891,8896) = 79094336

Properties of LCM 8891 and 8896

(i) The LCM of 8896 and 8891 is associative

LCM of 8891 and 8896 = LCM of 8896 and 8891

Related Least Common Multiples of 8891

Related Least Common Multiples of 8896

Frequently Asked Questions on LCM of 8891 and 8896

1. What is the LCM of 8891 and 8896?

Answer: LCM of 8891 and 8896 is 79094336.

2. What are the Factors of 8891?

Answer: Factors of 8891 are 1, 17, 523, 8891. There are 4 integers that are factors of 8891. The greatest factor of 8891 is 8891.

3. What are the Factors of 8896?

Answer: Factors of 8896 are 1, 2, 4, 8, 16, 32, 64, 139, 278, 556, 1112, 2224, 4448, 8896. There are 14 integers that are factors of 8896. The greatest factor of 8896 is 8896.

4. How to Find the LCM of 8891 and 8896?

Answer:

Least Common Multiple of 8891 and 8896 = 79094336

Step 1: Find the prime factorization of 8891

8891 = 17 x 523

Step 2: Find the prime factorization of 8896

8896 = 2 x 2 x 2 x 2 x 2 x 2 x 139

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 79094336 = 2 x 2 x 2 x 2 x 2 x 2 x 17 x 139 x 523

Step 4: Therefore, the least common multiple of 8891 and 8896 is 79094336.