Least Common Multiple of 8908 and 8909

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8908 and 8909 the smallest integer that is 79361372 that is divisible by both numbers.

Least Common Multiple (LCM) of 8908 and 8909 is 79361372.

LCM(8908,8909) = 79361372

LCM of 8908 and 8909

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

LCM of:
and

Least Common Multiple of 8908 and 8909

LCM of 8908 and 8909 is 79361372

Least common multiple can be found by multiplying the highest exponent prime factors of 8908 and 8909. First we will calculate the prime factors of 8908 and 8909.

Prime Factorization of 8908


2 8908
2 4454
17 2227
131 131
1

Prime factors of 8908 are 2, 17,131. Prime factorization of 8908 in exponential form is:

8908 = 22×171×1311

Prime Factorization of 8909


59 8909
151 151
1

Prime factors of 8909 are 59,151. Prime factorization of 8909 in exponential form is:

8909 = 591×1511

Now multiplying the highest exponent prime factors to calculate the LCM of 8908 and 8909.

LCM(8908,8909) = 22×171×591×1311×1511
LCM(8908,8909) = 79361372

Factors of 8908

List of positive integer factors of 8908 that divides 8908 without a remainder.

1, 2, 4, 17, 34, 68, 131, 262, 524, 2227, 4454, 8908

Factors of 8909

List of positive integer factors of 8909 that divides 8909 without a remainder.

1, 59, 151, 8909

Least Common Multiple of 8908 and 8909 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8908 and 8909, than apply into the LCM equation.

GCF(8908,8909) = 1
LCM(8908,8909) = ( 8908 × 8909) / 1
LCM(8908,8909) = 79361372 / 1
LCM(8908,8909) = 79361372

Properties of LCM 8908 and 8909

(i) The LCM of 8909 and 8908 is associative

LCM of 8908 and 8909 = LCM of 8909 and 8908

Related Least Common Multiples of 8908

Related Least Common Multiples of 8909

Frequently Asked Questions on LCM of 8908 and 8909

1. What is the LCM of 8908 and 8909?

Answer: LCM of 8908 and 8909 is 79361372.

2. What are the Factors of 8908?

Answer: Factors of 8908 are 1, 2, 4, 17, 34, 68, 131, 262, 524, 2227, 4454, 8908. There are 12 integers that are factors of 8908. The greatest factor of 8908 is 8908.

3. What are the Factors of 8909?

Answer: Factors of 8909 are 1, 59, 151, 8909. There are 4 integers that are factors of 8909. The greatest factor of 8909 is 8909.

4. How to Find the LCM of 8908 and 8909?

Answer:

Least Common Multiple of 8908 and 8909 = 79361372

Step 1: Find the prime factorization of 8908

8908 = 2 x 2 x 17 x 131

Step 2: Find the prime factorization of 8909

8909 = 59 x 151

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

LCM = 79361372 = 2 x 2 x 17 x 59 x 131 x 151

Step 4: Therefore, the least common multiple of 8908 and 8909 is 79361372.