Least Common Multiple of 2911 and 2916

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2911 and 2916 the smallest integer that is 8488476 that is divisible by both numbers.

Least Common Multiple (LCM) of 2911 and 2916 is 8488476.

LCM(2911,2916) = 8488476

LCM of 2911 and 2916

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

LCM of:
and

Least Common Multiple of 2911 and 2916

LCM of 2911 and 2916 is 8488476

Least common multiple can be found by multiplying the highest exponent prime factors of 2911 and 2916. First we will calculate the prime factors of 2911 and 2916.

Prime Factorization of 2911


41 2911
71 71
1

Prime factors of 2911 are 41,71. Prime factorization of 2911 in exponential form is:

2911 = 411×711

Prime Factorization of 2916


2 2916
2 1458
3 729
3 243
3 81
3 27
3 9
3 3
1

Prime factors of 2916 are 2,3. Prime factorization of 2916 in exponential form is:

2916 = 22×36

Now multiplying the highest exponent prime factors to calculate the LCM of 2911 and 2916.

LCM(2911,2916) = 22×36×411×711
LCM(2911,2916) = 8488476

Factors of 2911

List of positive integer factors of 2911 that divides 2911 without a remainder.

1, 41, 71, 2911

Factors of 2916

List of positive integer factors of 2916 that divides 2916 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 729, 972, 1458, 2916

Least Common Multiple of 2911 and 2916 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2911 and 2916, than apply into the LCM equation.

GCF(2911,2916) = 1
LCM(2911,2916) = ( 2911 × 2916) / 1
LCM(2911,2916) = 8488476 / 1
LCM(2911,2916) = 8488476

Properties of LCM 2911 and 2916

(i) The LCM of 2916 and 2911 is associative

LCM of 2911 and 2916 = LCM of 2916 and 2911

Related Least Common Multiples of 2911

Related Least Common Multiples of 2916

Frequently Asked Questions on LCM of 2911 and 2916

1. What is the LCM of 2911 and 2916?

Answer: LCM of 2911 and 2916 is 8488476.

2. What are the Factors of 2911?

Answer: Factors of 2911 are 1, 41, 71, 2911. There are 4 integers that are factors of 2911. The greatest factor of 2911 is 2911.

3. What are the Factors of 2916?

Answer: Factors of 2916 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 729, 972, 1458, 2916. There are 21 integers that are factors of 2916. The greatest factor of 2916 is 2916.

4. How to Find the LCM of 2911 and 2916?

Answer:

Least Common Multiple of 2911 and 2916 = 8488476

Step 1: Find the prime factorization of 2911

2911 = 41 x 71

Step 2: Find the prime factorization of 2916

2916 = 2 x 2 x 3 x 3 x 3 x 3 x 3 x 3

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

LCM = 8488476 = 2 x 2 x 3 x 3 x 3 x 3 x 3 x 3 x 41 x 71

Step 4: Therefore, the least common multiple of 2911 and 2916 is 8488476.