Least Common Multiple of 8911 and 8916

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8911 and 8916 the smallest integer that is 79450476 that is divisible by both numbers.

Least Common Multiple (LCM) of 8911 and 8916 is 79450476.

LCM(8911,8916) = 79450476

LCM of 8911 and 8916

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

LCM of:
and

Least Common Multiple of 8911 and 8916

LCM of 8911 and 8916 is 79450476

Least common multiple can be found by multiplying the highest exponent prime factors of 8911 and 8916. First we will calculate the prime factors of 8911 and 8916.

Prime Factorization of 8911


7 8911
19 1273
67 67
1

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

8911 = 71×191×671

Prime Factorization of 8916


2 8916
2 4458
3 2229
743 743
1

Prime factors of 8916 are 2, 3,743. Prime factorization of 8916 in exponential form is:

8916 = 22×31×7431

Now multiplying the highest exponent prime factors to calculate the LCM of 8911 and 8916.

LCM(8911,8916) = 22×31×71×191×671×7431
LCM(8911,8916) = 79450476

Factors of 8911

List of positive integer factors of 8911 that divides 8911 without a remainder.

1, 7, 19, 67, 133, 469, 1273, 8911

Factors of 8916

List of positive integer factors of 8916 that divides 8916 without a remainder.

1, 2, 3, 4, 6, 12, 743, 1486, 2229, 2972, 4458, 8916

Least Common Multiple of 8911 and 8916 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 8916, than apply into the LCM equation.

GCF(8911,8916) = 1
LCM(8911,8916) = ( 8911 × 8916) / 1
LCM(8911,8916) = 79450476 / 1
LCM(8911,8916) = 79450476

Properties of LCM 8911 and 8916

(i) The LCM of 8916 and 8911 is associative

LCM of 8911 and 8916 = LCM of 8916 and 8911

Related Least Common Multiples of 8911

Related Least Common Multiples of 8916

Frequently Asked Questions on LCM of 8911 and 8916

1. What is the LCM of 8911 and 8916?

Answer: LCM of 8911 and 8916 is 79450476.

2. What are the Factors of 8911?

Answer: Factors of 8911 are 1, 7, 19, 67, 133, 469, 1273, 8911. There are 8 integers that are factors of 8911. The greatest factor of 8911 is 8911.

3. What are the Factors of 8916?

Answer: Factors of 8916 are 1, 2, 3, 4, 6, 12, 743, 1486, 2229, 2972, 4458, 8916. There are 12 integers that are factors of 8916. The greatest factor of 8916 is 8916.

4. How to Find the LCM of 8911 and 8916?

Answer:

Least Common Multiple of 8911 and 8916 = 79450476

Step 1: Find the prime factorization of 8911

8911 = 7 x 19 x 67

Step 2: Find the prime factorization of 8916

8916 = 2 x 2 x 3 x 743

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

LCM = 79450476 = 2 x 2 x 3 x 7 x 19 x 67 x 743

Step 4: Therefore, the least common multiple of 8911 and 8916 is 79450476.