Least Common Multiple of 9084 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 9084 and 9088 the smallest integer that is 20638848 that is divisible by both numbers.

Least Common Multiple (LCM) of 9084 and 9088 is 20638848.

LCM(9084,9088) = 20638848

LCM of 9084 and 9088

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

LCM of:
and

Least Common Multiple of 9084 and 9088

LCM of 9084 and 9088 is 20638848

Least common multiple can be found by multiplying the highest exponent prime factors of 9084 and 9088. First we will calculate the prime factors of 9084 and 9088.

Prime Factorization of 9084


2 9084
2 4542
3 2271
757 757
1

Prime factors of 9084 are 2, 3,757. Prime factorization of 9084 in exponential form is:

9084 = 22×31×7571

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 9084 and 9088.

LCM(9084,9088) = 27×31×711×7571
LCM(9084,9088) = 20638848

Factors of 9084

List of positive integer factors of 9084 that divides 9084 without a remainder.

1, 2, 3, 4, 6, 12, 757, 1514, 2271, 3028, 4542, 9084

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 9084 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 9084 and 9088, than apply into the LCM equation.

GCF(9084,9088) = 4
LCM(9084,9088) = ( 9084 × 9088) / 4
LCM(9084,9088) = 82555392 / 4
LCM(9084,9088) = 20638848

Properties of LCM 9084 and 9088

(i) The LCM of 9088 and 9084 is associative

LCM of 9084 and 9088 = LCM of 9088 and 9084

Related Least Common Multiples of 9084

Related Least Common Multiples of 9088

Frequently Asked Questions on LCM of 9084 and 9088

1. What is the LCM of 9084 and 9088?

Answer: LCM of 9084 and 9088 is 20638848.

2. What are the Factors of 9084?

Answer: Factors of 9084 are 1, 2, 3, 4, 6, 12, 757, 1514, 2271, 3028, 4542, 9084. There are 12 integers that are factors of 9084. The greatest factor of 9084 is 9084.

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 9084 and 9088?

Answer:

Least Common Multiple of 9084 and 9088 = 20638848

Step 1: Find the prime factorization of 9084

9084 = 2 x 2 x 3 x 757

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 = 20638848 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 71 x 757

Step 4: Therefore, the least common multiple of 9084 and 9088 is 20638848.