Least Common Multiple of 2908 and 2913

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2908 and 2913 the smallest integer that is 8471004 that is divisible by both numbers.

Least Common Multiple (LCM) of 2908 and 2913 is 8471004.

LCM(2908,2913) = 8471004

LCM of 2908 and 2913

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

LCM of:
and

Least Common Multiple of 2908 and 2913

LCM of 2908 and 2913 is 8471004

Least common multiple can be found by multiplying the highest exponent prime factors of 2908 and 2913. First we will calculate the prime factors of 2908 and 2913.

Prime Factorization of 2908


2 2908
2 1454
727 727
1

Prime factors of 2908 are 2,727. Prime factorization of 2908 in exponential form is:

2908 = 22×7271

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

Now multiplying the highest exponent prime factors to calculate the LCM of 2908 and 2913.

LCM(2908,2913) = 22×31×7271×9711
LCM(2908,2913) = 8471004

Factors of 2908

List of positive integer factors of 2908 that divides 2908 without a remainder.

1, 2, 4, 727, 1454, 2908

Factors of 2913

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

1, 3, 971, 2913

Least Common Multiple of 2908 and 2913 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2908 and 2913, than apply into the LCM equation.

GCF(2908,2913) = 1
LCM(2908,2913) = ( 2908 × 2913) / 1
LCM(2908,2913) = 8471004 / 1
LCM(2908,2913) = 8471004

Properties of LCM 2908 and 2913

(i) The LCM of 2913 and 2908 is associative

LCM of 2908 and 2913 = LCM of 2913 and 2908

Related Least Common Multiples of 2908

Related Least Common Multiples of 2913

Frequently Asked Questions on LCM of 2908 and 2913

1. What is the LCM of 2908 and 2913?

Answer: LCM of 2908 and 2913 is 8471004.

2. What are the Factors of 2908?

Answer: Factors of 2908 are 1, 2, 4, 727, 1454, 2908. There are 6 integers that are factors of 2908. The greatest factor of 2908 is 2908.

3. 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.

4. How to Find the LCM of 2908 and 2913?

Answer:

Least Common Multiple of 2908 and 2913 = 8471004

Step 1: Find the prime factorization of 2908

2908 = 2 x 2 x 727

Step 2: Find the prime factorization of 2913

2913 = 3 x 971

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

LCM = 8471004 = 2 x 2 x 3 x 727 x 971

Step 4: Therefore, the least common multiple of 2908 and 2913 is 8471004.