Least Common Multiple of 9080 and 9088

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9080 and 9088 the smallest integer that is 10314880 that is divisible by both numbers.

Least Common Multiple (LCM) of 9080 and 9088 is 10314880.

LCM(9080,9088) = 10314880

LCM of 9080 and 9088

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

LCM of:
and

Least Common Multiple of 9080 and 9088

LCM of 9080 and 9088 is 10314880

Least common multiple can be found by multiplying the highest exponent prime factors of 9080 and 9088. First we will calculate the prime factors of 9080 and 9088.

Prime Factorization of 9080


2 9080
2 4540
2 2270
5 1135
227 227
1

Prime factors of 9080 are 2, 5,227. Prime factorization of 9080 in exponential form is:

9080 = 23×51×2271

Prime Factorization of 9088


2 9088
2 4544
2 2272
2 1136
2 568
2 284
2 142
71 71
1

Prime factors of 9088 are 2,71. Prime factorization of 9088 in exponential form is:

9088 = 27×711

Now multiplying the highest exponent prime factors to calculate the LCM of 9080 and 9088.

LCM(9080,9088) = 27×51×711×2271
LCM(9080,9088) = 10314880

Factors of 9080

List of positive integer factors of 9080 that divides 9080 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 227, 454, 908, 1135, 1816, 2270, 4540, 9080

Factors of 9088

List of positive integer factors of 9088 that divides 9088 without a remainder.

1, 2, 4, 8, 16, 32, 64, 71, 128, 142, 284, 568, 1136, 2272, 4544, 9088

Least Common Multiple of 9080 and 9088 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9080 and 9088, than apply into the LCM equation.

GCF(9080,9088) = 8
LCM(9080,9088) = ( 9080 × 9088) / 8
LCM(9080,9088) = 82519040 / 8
LCM(9080,9088) = 10314880

Properties of LCM 9080 and 9088

(i) The LCM of 9088 and 9080 is associative

LCM of 9080 and 9088 = LCM of 9088 and 9080

Related Least Common Multiples of 9080

Related Least Common Multiples of 9088

Frequently Asked Questions on LCM of 9080 and 9088

1. What is the LCM of 9080 and 9088?

Answer: LCM of 9080 and 9088 is 10314880.

2. What are the Factors of 9080?

Answer: Factors of 9080 are 1, 2, 4, 5, 8, 10, 20, 40, 227, 454, 908, 1135, 1816, 2270, 4540, 9080. There are 16 integers that are factors of 9080. The greatest factor of 9080 is 9080.

3. What are the Factors of 9088?

Answer: Factors of 9088 are 1, 2, 4, 8, 16, 32, 64, 71, 128, 142, 284, 568, 1136, 2272, 4544, 9088. There are 16 integers that are factors of 9088. The greatest factor of 9088 is 9088.

4. How to Find the LCM of 9080 and 9088?

Answer:

Least Common Multiple of 9080 and 9088 = 10314880

Step 1: Find the prime factorization of 9080

9080 = 2 x 2 x 2 x 5 x 227

Step 2: Find the prime factorization of 9088

9088 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 71

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

LCM = 10314880 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5 x 71 x 227

Step 4: Therefore, the least common multiple of 9080 and 9088 is 10314880.