Least Common Multiple of 906 and 908

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 906 and 908 the smallest integer that is 411324 that is divisible by both numbers.

Least Common Multiple (LCM) of 906 and 908 is 411324.

LCM(906,908) = 411324

LCM of 906 and 908

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

LCM of:
and

Least Common Multiple of 906 and 908

LCM of 906 and 908 is 411324

Least common multiple can be found by multiplying the highest exponent prime factors of 906 and 908. First we will calculate the prime factors of 906 and 908.

Prime Factorization of 906


2 906
3 453
151 151
1

Prime factors of 906 are 2, 3,151. Prime factorization of 906 in exponential form is:

906 = 21×31×1511

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

Now multiplying the highest exponent prime factors to calculate the LCM of 906 and 908.

LCM(906,908) = 22×31×1511×2271
LCM(906,908) = 411324

Factors of 906

List of positive integer factors of 906 that divides 906 without a remainder.

1, 2, 3, 6, 151, 302, 453, 906

Factors of 908

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

1, 2, 4, 227, 454, 908

Least Common Multiple of 906 and 908 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 906 and 908, than apply into the LCM equation.

GCF(906,908) = 2
LCM(906,908) = ( 906 × 908) / 2
LCM(906,908) = 822648 / 2
LCM(906,908) = 411324

Properties of LCM 906 and 908

(i) The LCM of 908 and 906 is associative

LCM of 906 and 908 = LCM of 908 and 906

Related Least Common Multiples of 906

Related Least Common Multiples of 908

Frequently Asked Questions on LCM of 906 and 908

1. What is the LCM of 906 and 908?

Answer: LCM of 906 and 908 is 411324.

2. What are the Factors of 906?

Answer: Factors of 906 are 1, 2, 3, 6, 151, 302, 453, 906. There are 8 integers that are factors of 906. The greatest factor of 906 is 906.

3. 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.

4. How to Find the LCM of 906 and 908?

Answer:

Least Common Multiple of 906 and 908 = 411324

Step 1: Find the prime factorization of 906

906 = 2 x 3 x 151

Step 2: Find the prime factorization of 908

908 = 2 x 2 x 227

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

LCM = 411324 = 2 x 2 x 3 x 151 x 227

Step 4: Therefore, the least common multiple of 906 and 908 is 411324.