Least Common Multiple of 13078 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 13078 and 13084 the smallest integer that is 85556276 that is divisible by both numbers.

Least Common Multiple (LCM) of 13078 and 13084 is 85556276.

LCM(13078,13084) = 85556276

LCM of 13078 and 13084

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

LCM of:
and

Least Common Multiple of 13078 and 13084

LCM of 13078 and 13084 is 85556276

Least common multiple can be found by multiplying the highest exponent prime factors of 13078 and 13084. First we will calculate the prime factors of 13078 and 13084.

Prime Factorization of 13078


2 13078
13 6539
503 503
1

Prime factors of 13078 are 2, 13,503. Prime factorization of 13078 in exponential form is:

13078 = 21×131×5031

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 13078 and 13084.

LCM(13078,13084) = 22×131×5031×32711
LCM(13078,13084) = 85556276

Factors of 13078

List of positive integer factors of 13078 that divides 13078 without a remainder.

1, 2, 13, 26, 503, 1006, 6539, 13078

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 13078 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 13078 and 13084, than apply into the LCM equation.

GCF(13078,13084) = 2
LCM(13078,13084) = ( 13078 × 13084) / 2
LCM(13078,13084) = 171112552 / 2
LCM(13078,13084) = 85556276

Properties of LCM 13078 and 13084

(i) The LCM of 13084 and 13078 is associative

LCM of 13078 and 13084 = LCM of 13084 and 13078

Related Least Common Multiples of 13078

Related Least Common Multiples of 13084

Frequently Asked Questions on LCM of 13078 and 13084

1. What is the LCM of 13078 and 13084?

Answer: LCM of 13078 and 13084 is 85556276.

2. What are the Factors of 13078?

Answer: Factors of 13078 are 1, 2, 13, 26, 503, 1006, 6539, 13078. There are 8 integers that are factors of 13078. The greatest factor of 13078 is 13078.

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 13078 and 13084?

Answer:

Least Common Multiple of 13078 and 13084 = 85556276

Step 1: Find the prime factorization of 13078

13078 = 2 x 13 x 503

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 = 85556276 = 2 x 2 x 13 x 503 x 3271

Step 4: Therefore, the least common multiple of 13078 and 13084 is 85556276.