Least Common Multiple of 13080 and 13084

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 13080 and 13084 the smallest integer that is 42784680 that is divisible by both numbers.

Least Common Multiple (LCM) of 13080 and 13084 is 42784680.

LCM(13080,13084) = 42784680

LCM of 13080 and 13084

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

LCM of:
and

Least Common Multiple of 13080 and 13084

LCM of 13080 and 13084 is 42784680

Least common multiple can be found by multiplying the highest exponent prime factors of 13080 and 13084. First we will calculate the prime factors of 13080 and 13084.

Prime Factorization of 13080


2 13080
2 6540
2 3270
3 1635
5 545
109 109
1

Prime factors of 13080 are 2, 3, 5,109. Prime factorization of 13080 in exponential form is:

13080 = 23×31×51×1091

Prime Factorization of 13084


2 13084
2 6542
3271 3271
1

Prime factors of 13084 are 2,3271. Prime factorization of 13084 in exponential form is:

13084 = 22×32711

Now multiplying the highest exponent prime factors to calculate the LCM of 13080 and 13084.

LCM(13080,13084) = 23×31×51×1091×32711
LCM(13080,13084) = 42784680

Factors of 13080

List of positive integer factors of 13080 that divides 13080 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 109, 120, 218, 327, 436, 545, 654, 872, 1090, 1308, 1635, 2180, 2616, 3270, 4360, 6540, 13080

Factors of 13084

List of positive integer factors of 13084 that divides 13084 without a remainder.

1, 2, 4, 3271, 6542, 13084

Least Common Multiple of 13080 and 13084 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13080 and 13084, than apply into the LCM equation.

GCF(13080,13084) = 4
LCM(13080,13084) = ( 13080 × 13084) / 4
LCM(13080,13084) = 171138720 / 4
LCM(13080,13084) = 42784680

Properties of LCM 13080 and 13084

(i) The LCM of 13084 and 13080 is associative

LCM of 13080 and 13084 = LCM of 13084 and 13080

Related Least Common Multiples of 13080

Related Least Common Multiples of 13084

Frequently Asked Questions on LCM of 13080 and 13084

1. What is the LCM of 13080 and 13084?

Answer: LCM of 13080 and 13084 is 42784680.

2. What are the Factors of 13080?

Answer: Factors of 13080 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 109, 120, 218, 327, 436, 545, 654, 872, 1090, 1308, 1635, 2180, 2616, 3270, 4360, 6540, 13080. There are 32 integers that are factors of 13080. The greatest factor of 13080 is 13080.

3. What are the Factors of 13084?

Answer: Factors of 13084 are 1, 2, 4, 3271, 6542, 13084. There are 6 integers that are factors of 13084. The greatest factor of 13084 is 13084.

4. How to Find the LCM of 13080 and 13084?

Answer:

Least Common Multiple of 13080 and 13084 = 42784680

Step 1: Find the prime factorization of 13080

13080 = 2 x 2 x 2 x 3 x 5 x 109

Step 2: Find the prime factorization of 13084

13084 = 2 x 2 x 3271

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

LCM = 42784680 = 2 x 2 x 2 x 3 x 5 x 109 x 3271

Step 4: Therefore, the least common multiple of 13080 and 13084 is 42784680.