Least Common Multiple of 8891 and 8892

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 8892 the smallest integer that is 79058772 that is divisible by both numbers.

Least Common Multiple (LCM) of 8891 and 8892 is 79058772.

LCM(8891,8892) = 79058772

LCM of 8891 and 8892

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

LCM of:
and

Least Common Multiple of 8891 and 8892

LCM of 8891 and 8892 is 79058772

Least common multiple can be found by multiplying the highest exponent prime factors of 8891 and 8892. First we will calculate the prime factors of 8891 and 8892.

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 8892


2 8892
2 4446
3 2223
3 741
13 247
19 19
1

Prime factors of 8892 are 2, 3, 13,19. Prime factorization of 8892 in exponential form is:

8892 = 22×32×131×191

Now multiplying the highest exponent prime factors to calculate the LCM of 8891 and 8892.

LCM(8891,8892) = 22×32×131×171×191×5231
LCM(8891,8892) = 79058772

Factors of 8891

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

1, 17, 523, 8891

Factors of 8892

List of positive integer factors of 8892 that divides 8892 without a remainder.

1, 2, 3, 4, 6, 9, 12, 13, 18, 19, 26, 36, 38, 39, 52, 57, 76, 78, 114, 117, 156, 171, 228, 234, 247, 342, 468, 494, 684, 741, 988, 1482, 2223, 2964, 4446, 8892

Least Common Multiple of 8891 and 8892 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 8892, than apply into the LCM equation.

GCF(8891,8892) = 1
LCM(8891,8892) = ( 8891 × 8892) / 1
LCM(8891,8892) = 79058772 / 1
LCM(8891,8892) = 79058772

Properties of LCM 8891 and 8892

(i) The LCM of 8892 and 8891 is associative

LCM of 8891 and 8892 = LCM of 8892 and 8891

Related Least Common Multiples of 8891

Related Least Common Multiples of 8892

Frequently Asked Questions on LCM of 8891 and 8892

1. What is the LCM of 8891 and 8892?

Answer: LCM of 8891 and 8892 is 79058772.

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 8892?

Answer: Factors of 8892 are 1, 2, 3, 4, 6, 9, 12, 13, 18, 19, 26, 36, 38, 39, 52, 57, 76, 78, 114, 117, 156, 171, 228, 234, 247, 342, 468, 494, 684, 741, 988, 1482, 2223, 2964, 4446, 8892. There are 36 integers that are factors of 8892. The greatest factor of 8892 is 8892.

4. How to Find the LCM of 8891 and 8892?

Answer:

Least Common Multiple of 8891 and 8892 = 79058772

Step 1: Find the prime factorization of 8891

8891 = 17 x 523

Step 2: Find the prime factorization of 8892

8892 = 2 x 2 x 3 x 3 x 13 x 19

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

LCM = 79058772 = 2 x 2 x 3 x 3 x 13 x 17 x 19 x 523

Step 4: Therefore, the least common multiple of 8891 and 8892 is 79058772.