Least Common Multiple of 2917 and 2922

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 2922 the smallest integer that is 8523474 that is divisible by both numbers.

Least Common Multiple (LCM) of 2917 and 2922 is 8523474.

LCM(2917,2922) = 8523474

LCM of 2917 and 2922

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

LCM of:
and

Least Common Multiple of 2917 and 2922

LCM of 2917 and 2922 is 8523474

Least common multiple can be found by multiplying the highest exponent prime factors of 2917 and 2922. First we will calculate the prime factors of 2917 and 2922.

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 2922


2 2922
3 1461
487 487
1

Prime factors of 2922 are 2, 3,487. Prime factorization of 2922 in exponential form is:

2922 = 21×31×4871

Now multiplying the highest exponent prime factors to calculate the LCM of 2917 and 2922.

LCM(2917,2922) = 21×31×4871×29171
LCM(2917,2922) = 8523474

Factors of 2917

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

1, 2917

Factors of 2922

List of positive integer factors of 2922 that divides 2922 without a remainder.

1, 2, 3, 6, 487, 974, 1461, 2922

Least Common Multiple of 2917 and 2922 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 2922, than apply into the LCM equation.

GCF(2917,2922) = 1
LCM(2917,2922) = ( 2917 × 2922) / 1
LCM(2917,2922) = 8523474 / 1
LCM(2917,2922) = 8523474

Properties of LCM 2917 and 2922

(i) The LCM of 2922 and 2917 is associative

LCM of 2917 and 2922 = LCM of 2922 and 2917

Related Least Common Multiples of 2917

Related Least Common Multiples of 2922

Frequently Asked Questions on LCM of 2917 and 2922

1. What is the LCM of 2917 and 2922?

Answer: LCM of 2917 and 2922 is 8523474.

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 2922?

Answer: Factors of 2922 are 1, 2, 3, 6, 487, 974, 1461, 2922. There are 8 integers that are factors of 2922. The greatest factor of 2922 is 2922.

4. How to Find the LCM of 2917 and 2922?

Answer:

Least Common Multiple of 2917 and 2922 = 8523474

Step 1: Find the prime factorization of 2917

2917 = 2917

Step 2: Find the prime factorization of 2922

2922 = 2 x 3 x 487

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

LCM = 8523474 = 2 x 3 x 487 x 2917

Step 4: Therefore, the least common multiple of 2917 and 2922 is 8523474.