Least Common Multiple of 907 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 907 and 908 the smallest integer that is 823556 that is divisible by both numbers.

Least Common Multiple (LCM) of 907 and 908 is 823556.

LCM(907,908) = 823556

LCM of 907 and 908

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

LCM of:
and

Least Common Multiple of 907 and 908

LCM of 907 and 908 is 823556

Least common multiple can be found by multiplying the highest exponent prime factors of 907 and 908. First we will calculate the prime factors of 907 and 908.

Prime Factorization of 907


907 907
1

Prime factors of 907 are 907. Prime factorization of 907 in exponential form is:

907 = 9071

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 907 and 908.

LCM(907,908) = 22×2271×9071
LCM(907,908) = 823556

Factors of 907

List of positive integer factors of 907 that divides 907 without a remainder.

1, 907

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 907 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 907 and 908, than apply into the LCM equation.

GCF(907,908) = 1
LCM(907,908) = ( 907 × 908) / 1
LCM(907,908) = 823556 / 1
LCM(907,908) = 823556

Properties of LCM 907 and 908

(i) The LCM of 908 and 907 is associative

LCM of 907 and 908 = LCM of 908 and 907

Related Least Common Multiples of 907

Related Least Common Multiples of 908

Frequently Asked Questions on LCM of 907 and 908

1. What is the LCM of 907 and 908?

Answer: LCM of 907 and 908 is 823556.

2. What are the Factors of 907?

Answer: Factors of 907 are 1, 907. There are 2 integers that are factors of 907. The greatest factor of 907 is 907.

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 907 and 908?

Answer:

Least Common Multiple of 907 and 908 = 823556

Step 1: Find the prime factorization of 907

907 = 907

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 = 823556 = 2 x 2 x 227 x 907

Step 4: Therefore, the least common multiple of 907 and 908 is 823556.