Least Common Multiple of 9076 and 9084

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9076 and 9084 the smallest integer that is 20611596 that is divisible by both numbers.

Least Common Multiple (LCM) of 9076 and 9084 is 20611596.

LCM(9076,9084) = 20611596

LCM of 9076 and 9084

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

LCM of:
and

Least Common Multiple of 9076 and 9084

LCM of 9076 and 9084 is 20611596

Least common multiple can be found by multiplying the highest exponent prime factors of 9076 and 9084. First we will calculate the prime factors of 9076 and 9084.

Prime Factorization of 9076


2 9076
2 4538
2269 2269
1

Prime factors of 9076 are 2,2269. Prime factorization of 9076 in exponential form is:

9076 = 22×22691

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

Now multiplying the highest exponent prime factors to calculate the LCM of 9076 and 9084.

LCM(9076,9084) = 22×31×7571×22691
LCM(9076,9084) = 20611596

Factors of 9076

List of positive integer factors of 9076 that divides 9076 without a remainder.

1, 2, 4, 2269, 4538, 9076

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

Least Common Multiple of 9076 and 9084 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9076 and 9084, than apply into the LCM equation.

GCF(9076,9084) = 4
LCM(9076,9084) = ( 9076 × 9084) / 4
LCM(9076,9084) = 82446384 / 4
LCM(9076,9084) = 20611596

Properties of LCM 9076 and 9084

(i) The LCM of 9084 and 9076 is associative

LCM of 9076 and 9084 = LCM of 9084 and 9076

Related Least Common Multiples of 9076

Related Least Common Multiples of 9084

Frequently Asked Questions on LCM of 9076 and 9084

1. What is the LCM of 9076 and 9084?

Answer: LCM of 9076 and 9084 is 20611596.

2. What are the Factors of 9076?

Answer: Factors of 9076 are 1, 2, 4, 2269, 4538, 9076. There are 6 integers that are factors of 9076. The greatest factor of 9076 is 9076.

3. 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.

4. How to Find the LCM of 9076 and 9084?

Answer:

Least Common Multiple of 9076 and 9084 = 20611596

Step 1: Find the prime factorization of 9076

9076 = 2 x 2 x 2269

Step 2: Find the prime factorization of 9084

9084 = 2 x 2 x 3 x 757

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

LCM = 20611596 = 2 x 2 x 3 x 757 x 2269

Step 4: Therefore, the least common multiple of 9076 and 9084 is 20611596.