Least Common Multiple of 2913 and 2917

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2913 and 2917 the smallest integer that is 8497221 that is divisible by both numbers.

Least Common Multiple (LCM) of 2913 and 2917 is 8497221.

LCM(2913,2917) = 8497221

LCM of 2913 and 2917

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

LCM of:
and

Least Common Multiple of 2913 and 2917

LCM of 2913 and 2917 is 8497221

Least common multiple can be found by multiplying the highest exponent prime factors of 2913 and 2917. First we will calculate the prime factors of 2913 and 2917.

Prime Factorization of 2913


3 2913
971 971
1

Prime factors of 2913 are 3,971. Prime factorization of 2913 in exponential form is:

2913 = 31×9711

Prime Factorization of 2917


2917 2917
1

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

2917 = 29171

Now multiplying the highest exponent prime factors to calculate the LCM of 2913 and 2917.

LCM(2913,2917) = 31×9711×29171
LCM(2913,2917) = 8497221

Factors of 2913

List of positive integer factors of 2913 that divides 2913 without a remainder.

1, 3, 971, 2913

Factors of 2917

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

1, 2917

Least Common Multiple of 2913 and 2917 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2913 and 2917, than apply into the LCM equation.

GCF(2913,2917) = 1
LCM(2913,2917) = ( 2913 × 2917) / 1
LCM(2913,2917) = 8497221 / 1
LCM(2913,2917) = 8497221

Properties of LCM 2913 and 2917

(i) The LCM of 2917 and 2913 is associative

LCM of 2913 and 2917 = LCM of 2917 and 2913

Related Least Common Multiples of 2913

Related Least Common Multiples of 2917

Frequently Asked Questions on LCM of 2913 and 2917

1. What is the LCM of 2913 and 2917?

Answer: LCM of 2913 and 2917 is 8497221.

2. What are the Factors of 2913?

Answer: Factors of 2913 are 1, 3, 971, 2913. There are 4 integers that are factors of 2913. The greatest factor of 2913 is 2913.

3. 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.

4. How to Find the LCM of 2913 and 2917?

Answer:

Least Common Multiple of 2913 and 2917 = 8497221

Step 1: Find the prime factorization of 2913

2913 = 3 x 971

Step 2: Find the prime factorization of 2917

2917 = 2917

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

LCM = 8497221 = 3 x 971 x 2917

Step 4: Therefore, the least common multiple of 2913 and 2917 is 8497221.