Least Common Multiple of 908 and 913

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 908 and 913 the smallest integer that is 829004 that is divisible by both numbers.

Least Common Multiple (LCM) of 908 and 913 is 829004.

LCM(908,913) = 829004

LCM of 908 and 913

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

LCM of:
and

Least Common Multiple of 908 and 913

LCM of 908 and 913 is 829004

Least common multiple can be found by multiplying the highest exponent prime factors of 908 and 913. First we will calculate the prime factors of 908 and 913.

Prime Factorization of 908


2 908
2 454
227 227
1

Prime factors of 908 are 2,227. Prime factorization of 908 in exponential form is:

908 = 22×2271

Prime Factorization of 913


11 913
83 83
1

Prime factors of 913 are 11,83. Prime factorization of 913 in exponential form is:

913 = 111×831

Now multiplying the highest exponent prime factors to calculate the LCM of 908 and 913.

LCM(908,913) = 22×111×831×2271
LCM(908,913) = 829004

Factors of 908

List of positive integer factors of 908 that divides 908 without a remainder.

1, 2, 4, 227, 454, 908

Factors of 913

List of positive integer factors of 913 that divides 913 without a remainder.

1, 11, 83, 913

Least Common Multiple of 908 and 913 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 908 and 913, than apply into the LCM equation.

GCF(908,913) = 1
LCM(908,913) = ( 908 × 913) / 1
LCM(908,913) = 829004 / 1
LCM(908,913) = 829004

Properties of LCM 908 and 913

(i) The LCM of 913 and 908 is associative

LCM of 908 and 913 = LCM of 913 and 908

Related Least Common Multiples of 908

Related Least Common Multiples of 913

Frequently Asked Questions on LCM of 908 and 913

1. What is the LCM of 908 and 913?

Answer: LCM of 908 and 913 is 829004.

2. What are the Factors of 908?

Answer: Factors of 908 are 1, 2, 4, 227, 454, 908. There are 6 integers that are factors of 908. The greatest factor of 908 is 908.

3. What are the Factors of 913?

Answer: Factors of 913 are 1, 11, 83, 913. There are 4 integers that are factors of 913. The greatest factor of 913 is 913.

4. How to Find the LCM of 908 and 913?

Answer:

Least Common Multiple of 908 and 913 = 829004

Step 1: Find the prime factorization of 908

908 = 2 x 2 x 227

Step 2: Find the prime factorization of 913

913 = 11 x 83

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

LCM = 829004 = 2 x 2 x 11 x 83 x 227

Step 4: Therefore, the least common multiple of 908 and 913 is 829004.