Least Common Multiple of 908 and 909

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 909 the smallest integer that is 825372 that is divisible by both numbers.

Least Common Multiple (LCM) of 908 and 909 is 825372.

LCM(908,909) = 825372

LCM of 908 and 909

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

LCM of:
and

Least Common Multiple of 908 and 909

LCM of 908 and 909 is 825372

Least common multiple can be found by multiplying the highest exponent prime factors of 908 and 909. First we will calculate the prime factors of 908 and 909.

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 909


3 909
3 303
101 101
1

Prime factors of 909 are 3,101. Prime factorization of 909 in exponential form is:

909 = 32×1011

Now multiplying the highest exponent prime factors to calculate the LCM of 908 and 909.

LCM(908,909) = 22×32×1011×2271
LCM(908,909) = 825372

Factors of 908

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

1, 2, 4, 227, 454, 908

Factors of 909

List of positive integer factors of 909 that divides 909 without a remainder.

1, 3, 9, 101, 303, 909

Least Common Multiple of 908 and 909 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 909, than apply into the LCM equation.

GCF(908,909) = 1
LCM(908,909) = ( 908 × 909) / 1
LCM(908,909) = 825372 / 1
LCM(908,909) = 825372

Properties of LCM 908 and 909

(i) The LCM of 909 and 908 is associative

LCM of 908 and 909 = LCM of 909 and 908

Related Least Common Multiples of 908

Related Least Common Multiples of 909

Frequently Asked Questions on LCM of 908 and 909

1. What is the LCM of 908 and 909?

Answer: LCM of 908 and 909 is 825372.

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 909?

Answer: Factors of 909 are 1, 3, 9, 101, 303, 909. There are 6 integers that are factors of 909. The greatest factor of 909 is 909.

4. How to Find the LCM of 908 and 909?

Answer:

Least Common Multiple of 908 and 909 = 825372

Step 1: Find the prime factorization of 908

908 = 2 x 2 x 227

Step 2: Find the prime factorization of 909

909 = 3 x 3 x 101

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

LCM = 825372 = 2 x 2 x 3 x 3 x 101 x 227

Step 4: Therefore, the least common multiple of 908 and 909 is 825372.