Least Common Multiple of 908 and 912

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 912 the smallest integer that is 207024 that is divisible by both numbers.

Least Common Multiple (LCM) of 908 and 912 is 207024.

LCM(908,912) = 207024

LCM of 908 and 912

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

LCM of:
and

Least Common Multiple of 908 and 912

LCM of 908 and 912 is 207024

Least common multiple can be found by multiplying the highest exponent prime factors of 908 and 912. First we will calculate the prime factors of 908 and 912.

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 912


2 912
2 456
2 228
2 114
3 57
19 19
1

Prime factors of 912 are 2, 3,19. Prime factorization of 912 in exponential form is:

912 = 24×31×191

Now multiplying the highest exponent prime factors to calculate the LCM of 908 and 912.

LCM(908,912) = 24×31×191×2271
LCM(908,912) = 207024

Factors of 908

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

1, 2, 4, 227, 454, 908

Factors of 912

List of positive integer factors of 912 that divides 912 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

Least Common Multiple of 908 and 912 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 912, than apply into the LCM equation.

GCF(908,912) = 4
LCM(908,912) = ( 908 × 912) / 4
LCM(908,912) = 828096 / 4
LCM(908,912) = 207024

Properties of LCM 908 and 912

(i) The LCM of 912 and 908 is associative

LCM of 908 and 912 = LCM of 912 and 908

Related Least Common Multiples of 908

Related Least Common Multiples of 912

Frequently Asked Questions on LCM of 908 and 912

1. What is the LCM of 908 and 912?

Answer: LCM of 908 and 912 is 207024.

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 912?

Answer: Factors of 912 are 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912. There are 20 integers that are factors of 912. The greatest factor of 912 is 912.

4. How to Find the LCM of 908 and 912?

Answer:

Least Common Multiple of 908 and 912 = 207024

Step 1: Find the prime factorization of 908

908 = 2 x 2 x 227

Step 2: Find the prime factorization of 912

912 = 2 x 2 x 2 x 2 x 3 x 19

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

LCM = 207024 = 2 x 2 x 2 x 2 x 3 x 19 x 227

Step 4: Therefore, the least common multiple of 908 and 912 is 207024.