Least Common Multiple of 2917 and 2924

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2917 and 2924 the smallest integer that is 8529308 that is divisible by both numbers.

Least Common Multiple (LCM) of 2917 and 2924 is 8529308.

LCM(2917,2924) = 8529308

LCM of 2917 and 2924

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

LCM of:
and

Least Common Multiple of 2917 and 2924

LCM of 2917 and 2924 is 8529308

Least common multiple can be found by multiplying the highest exponent prime factors of 2917 and 2924. First we will calculate the prime factors of 2917 and 2924.

Prime Factorization of 2917


2917 2917
1

Prime factors of 2917 are 2917. Prime factorization of 2917 in exponential form is:

2917 = 29171

Prime Factorization of 2924


2 2924
2 1462
17 731
43 43
1

Prime factors of 2924 are 2, 17,43. Prime factorization of 2924 in exponential form is:

2924 = 22×171×431

Now multiplying the highest exponent prime factors to calculate the LCM of 2917 and 2924.

LCM(2917,2924) = 22×171×431×29171
LCM(2917,2924) = 8529308

Factors of 2917

List of positive integer factors of 2917 that divides 2917 without a remainder.

1, 2917

Factors of 2924

List of positive integer factors of 2924 that divides 2924 without a remainder.

1, 2, 4, 17, 34, 43, 68, 86, 172, 731, 1462, 2924

Least Common Multiple of 2917 and 2924 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2917 and 2924, than apply into the LCM equation.

GCF(2917,2924) = 1
LCM(2917,2924) = ( 2917 × 2924) / 1
LCM(2917,2924) = 8529308 / 1
LCM(2917,2924) = 8529308

Properties of LCM 2917 and 2924

(i) The LCM of 2924 and 2917 is associative

LCM of 2917 and 2924 = LCM of 2924 and 2917

Related Least Common Multiples of 2917

Related Least Common Multiples of 2924

Frequently Asked Questions on LCM of 2917 and 2924

1. What is the LCM of 2917 and 2924?

Answer: LCM of 2917 and 2924 is 8529308.

2. What are the Factors of 2917?

Answer: Factors of 2917 are 1, 2917. There are 2 integers that are factors of 2917. The greatest factor of 2917 is 2917.

3. What are the Factors of 2924?

Answer: Factors of 2924 are 1, 2, 4, 17, 34, 43, 68, 86, 172, 731, 1462, 2924. There are 12 integers that are factors of 2924. The greatest factor of 2924 is 2924.

4. How to Find the LCM of 2917 and 2924?

Answer:

Least Common Multiple of 2917 and 2924 = 8529308

Step 1: Find the prime factorization of 2917

2917 = 2917

Step 2: Find the prime factorization of 2924

2924 = 2 x 2 x 17 x 43

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

LCM = 8529308 = 2 x 2 x 17 x 43 x 2917

Step 4: Therefore, the least common multiple of 2917 and 2924 is 8529308.