Least Common Multiple of 9077 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 9077 and 9084 the smallest integer that is 82455468 that is divisible by both numbers.

Least Common Multiple (LCM) of 9077 and 9084 is 82455468.

LCM(9077,9084) = 82455468

LCM of 9077 and 9084

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

LCM of:
and

Least Common Multiple of 9077 and 9084

LCM of 9077 and 9084 is 82455468

Least common multiple can be found by multiplying the highest exponent prime factors of 9077 and 9084. First we will calculate the prime factors of 9077 and 9084.

Prime Factorization of 9077


29 9077
313 313
1

Prime factors of 9077 are 29,313. Prime factorization of 9077 in exponential form is:

9077 = 291×3131

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 9077 and 9084.

LCM(9077,9084) = 22×31×291×3131×7571
LCM(9077,9084) = 82455468

Factors of 9077

List of positive integer factors of 9077 that divides 9077 without a remainder.

1, 29, 313, 9077

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 9077 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 9077 and 9084, than apply into the LCM equation.

GCF(9077,9084) = 1
LCM(9077,9084) = ( 9077 × 9084) / 1
LCM(9077,9084) = 82455468 / 1
LCM(9077,9084) = 82455468

Properties of LCM 9077 and 9084

(i) The LCM of 9084 and 9077 is associative

LCM of 9077 and 9084 = LCM of 9084 and 9077

Related Least Common Multiples of 9077

Related Least Common Multiples of 9084

Frequently Asked Questions on LCM of 9077 and 9084

1. What is the LCM of 9077 and 9084?

Answer: LCM of 9077 and 9084 is 82455468.

2. What are the Factors of 9077?

Answer: Factors of 9077 are 1, 29, 313, 9077. There are 4 integers that are factors of 9077. The greatest factor of 9077 is 9077.

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 9077 and 9084?

Answer:

Least Common Multiple of 9077 and 9084 = 82455468

Step 1: Find the prime factorization of 9077

9077 = 29 x 313

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 = 82455468 = 2 x 2 x 3 x 29 x 313 x 757

Step 4: Therefore, the least common multiple of 9077 and 9084 is 82455468.