Least Common Multiple of 2913 and 2918

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 2918 the smallest integer that is 8500134 that is divisible by both numbers.

Least Common Multiple (LCM) of 2913 and 2918 is 8500134.

LCM(2913,2918) = 8500134

LCM of 2913 and 2918

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

LCM of:
and

Least Common Multiple of 2913 and 2918

LCM of 2913 and 2918 is 8500134

Least common multiple can be found by multiplying the highest exponent prime factors of 2913 and 2918. First we will calculate the prime factors of 2913 and 2918.

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 2918


2 2918
1459 1459
1

Prime factors of 2918 are 2,1459. Prime factorization of 2918 in exponential form is:

2918 = 21×14591

Now multiplying the highest exponent prime factors to calculate the LCM of 2913 and 2918.

LCM(2913,2918) = 21×31×9711×14591
LCM(2913,2918) = 8500134

Factors of 2913

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

1, 3, 971, 2913

Factors of 2918

List of positive integer factors of 2918 that divides 2918 without a remainder.

1, 2, 1459, 2918

Least Common Multiple of 2913 and 2918 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 2918, than apply into the LCM equation.

GCF(2913,2918) = 1
LCM(2913,2918) = ( 2913 × 2918) / 1
LCM(2913,2918) = 8500134 / 1
LCM(2913,2918) = 8500134

Properties of LCM 2913 and 2918

(i) The LCM of 2918 and 2913 is associative

LCM of 2913 and 2918 = LCM of 2918 and 2913

Related Least Common Multiples of 2913

Related Least Common Multiples of 2918

Frequently Asked Questions on LCM of 2913 and 2918

1. What is the LCM of 2913 and 2918?

Answer: LCM of 2913 and 2918 is 8500134.

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 2918?

Answer: Factors of 2918 are 1, 2, 1459, 2918. There are 4 integers that are factors of 2918. The greatest factor of 2918 is 2918.

4. How to Find the LCM of 2913 and 2918?

Answer:

Least Common Multiple of 2913 and 2918 = 8500134

Step 1: Find the prime factorization of 2913

2913 = 3 x 971

Step 2: Find the prime factorization of 2918

2918 = 2 x 1459

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

LCM = 8500134 = 2 x 3 x 971 x 1459

Step 4: Therefore, the least common multiple of 2913 and 2918 is 8500134.