Least Common Multiple of 13078 and 13086

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 13086 the smallest integer that is 85569354 that is divisible by both numbers.

Least Common Multiple (LCM) of 13078 and 13086 is 85569354.

LCM(13078,13086) = 85569354

LCM of 13078 and 13086

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

LCM of:
and

Least Common Multiple of 13078 and 13086

LCM of 13078 and 13086 is 85569354

Least common multiple can be found by multiplying the highest exponent prime factors of 13078 and 13086. First we will calculate the prime factors of 13078 and 13086.

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 13086


2 13086
3 6543
3 2181
727 727
1

Prime factors of 13086 are 2, 3,727. Prime factorization of 13086 in exponential form is:

13086 = 21×32×7271

Now multiplying the highest exponent prime factors to calculate the LCM of 13078 and 13086.

LCM(13078,13086) = 21×32×131×5031×7271
LCM(13078,13086) = 85569354

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 13086

List of positive integer factors of 13086 that divides 13086 without a remainder.

1, 2, 3, 6, 9, 18, 727, 1454, 2181, 4362, 6543, 13086

Least Common Multiple of 13078 and 13086 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 13086, than apply into the LCM equation.

GCF(13078,13086) = 2
LCM(13078,13086) = ( 13078 × 13086) / 2
LCM(13078,13086) = 171138708 / 2
LCM(13078,13086) = 85569354

Properties of LCM 13078 and 13086

(i) The LCM of 13086 and 13078 is associative

LCM of 13078 and 13086 = LCM of 13086 and 13078

Related Least Common Multiples of 13078

Related Least Common Multiples of 13086

Frequently Asked Questions on LCM of 13078 and 13086

1. What is the LCM of 13078 and 13086?

Answer: LCM of 13078 and 13086 is 85569354.

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 13086?

Answer: Factors of 13086 are 1, 2, 3, 6, 9, 18, 727, 1454, 2181, 4362, 6543, 13086. There are 12 integers that are factors of 13086. The greatest factor of 13086 is 13086.

4. How to Find the LCM of 13078 and 13086?

Answer:

Least Common Multiple of 13078 and 13086 = 85569354

Step 1: Find the prime factorization of 13078

13078 = 2 x 13 x 503

Step 2: Find the prime factorization of 13086

13086 = 2 x 3 x 3 x 727

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

LCM = 85569354 = 2 x 3 x 3 x 13 x 503 x 727

Step 4: Therefore, the least common multiple of 13078 and 13086 is 85569354.