Least Common Multiple of 908 and 916

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 916 the smallest integer that is 207932 that is divisible by both numbers.

Least Common Multiple (LCM) of 908 and 916 is 207932.

LCM(908,916) = 207932

LCM of 908 and 916

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

LCM of:
and

Least Common Multiple of 908 and 916

LCM of 908 and 916 is 207932

Least common multiple can be found by multiplying the highest exponent prime factors of 908 and 916. First we will calculate the prime factors of 908 and 916.

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 916


2 916
2 458
229 229
1

Prime factors of 916 are 2,229. Prime factorization of 916 in exponential form is:

916 = 22×2291

Now multiplying the highest exponent prime factors to calculate the LCM of 908 and 916.

LCM(908,916) = 22×2271×2291
LCM(908,916) = 207932

Factors of 908

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

1, 2, 4, 227, 454, 908

Factors of 916

List of positive integer factors of 916 that divides 916 without a remainder.

1, 2, 4, 229, 458, 916

Least Common Multiple of 908 and 916 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 916, than apply into the LCM equation.

GCF(908,916) = 4
LCM(908,916) = ( 908 × 916) / 4
LCM(908,916) = 831728 / 4
LCM(908,916) = 207932

Properties of LCM 908 and 916

(i) The LCM of 916 and 908 is associative

LCM of 908 and 916 = LCM of 916 and 908

Related Least Common Multiples of 908

Related Least Common Multiples of 916

Frequently Asked Questions on LCM of 908 and 916

1. What is the LCM of 908 and 916?

Answer: LCM of 908 and 916 is 207932.

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 916?

Answer: Factors of 916 are 1, 2, 4, 229, 458, 916. There are 6 integers that are factors of 916. The greatest factor of 916 is 916.

4. How to Find the LCM of 908 and 916?

Answer:

Least Common Multiple of 908 and 916 = 207932

Step 1: Find the prime factorization of 908

908 = 2 x 2 x 227

Step 2: Find the prime factorization of 916

916 = 2 x 2 x 229

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

LCM = 207932 = 2 x 2 x 227 x 229

Step 4: Therefore, the least common multiple of 908 and 916 is 207932.