Least Common Multiple of 8891 and 8898

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 8898 the smallest integer that is 79112118 that is divisible by both numbers.

Least Common Multiple (LCM) of 8891 and 8898 is 79112118.

LCM(8891,8898) = 79112118

LCM of 8891 and 8898

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

LCM of:
and

Least Common Multiple of 8891 and 8898

LCM of 8891 and 8898 is 79112118

Least common multiple can be found by multiplying the highest exponent prime factors of 8891 and 8898. First we will calculate the prime factors of 8891 and 8898.

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 8898


2 8898
3 4449
1483 1483
1

Prime factors of 8898 are 2, 3,1483. Prime factorization of 8898 in exponential form is:

8898 = 21×31×14831

Now multiplying the highest exponent prime factors to calculate the LCM of 8891 and 8898.

LCM(8891,8898) = 21×31×171×5231×14831
LCM(8891,8898) = 79112118

Factors of 8891

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

1, 17, 523, 8891

Factors of 8898

List of positive integer factors of 8898 that divides 8898 without a remainder.

1, 2, 3, 6, 1483, 2966, 4449, 8898

Least Common Multiple of 8891 and 8898 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 8898, than apply into the LCM equation.

GCF(8891,8898) = 1
LCM(8891,8898) = ( 8891 × 8898) / 1
LCM(8891,8898) = 79112118 / 1
LCM(8891,8898) = 79112118

Properties of LCM 8891 and 8898

(i) The LCM of 8898 and 8891 is associative

LCM of 8891 and 8898 = LCM of 8898 and 8891

Related Least Common Multiples of 8891

Related Least Common Multiples of 8898

Frequently Asked Questions on LCM of 8891 and 8898

1. What is the LCM of 8891 and 8898?

Answer: LCM of 8891 and 8898 is 79112118.

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 8898?

Answer: Factors of 8898 are 1, 2, 3, 6, 1483, 2966, 4449, 8898. There are 8 integers that are factors of 8898. The greatest factor of 8898 is 8898.

4. How to Find the LCM of 8891 and 8898?

Answer:

Least Common Multiple of 8891 and 8898 = 79112118

Step 1: Find the prime factorization of 8891

8891 = 17 x 523

Step 2: Find the prime factorization of 8898

8898 = 2 x 3 x 1483

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

LCM = 79112118 = 2 x 3 x 17 x 523 x 1483

Step 4: Therefore, the least common multiple of 8891 and 8898 is 79112118.