Least Common Multiple of 13072 and 13078

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 13072 and 13078 the smallest integer that is 85477808 that is divisible by both numbers.

Least Common Multiple (LCM) of 13072 and 13078 is 85477808.

LCM(13072,13078) = 85477808

LCM of 13072 and 13078

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

LCM of:
and

Least Common Multiple of 13072 and 13078

LCM of 13072 and 13078 is 85477808

Least common multiple can be found by multiplying the highest exponent prime factors of 13072 and 13078. First we will calculate the prime factors of 13072 and 13078.

Prime Factorization of 13072


2 13072
2 6536
2 3268
2 1634
19 817
43 43
1

Prime factors of 13072 are 2, 19,43. Prime factorization of 13072 in exponential form is:

13072 = 24×191×431

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

Now multiplying the highest exponent prime factors to calculate the LCM of 13072 and 13078.

LCM(13072,13078) = 24×131×191×431×5031
LCM(13072,13078) = 85477808

Factors of 13072

List of positive integer factors of 13072 that divides 13072 without a remainder.

1, 2, 4, 8, 16, 19, 38, 43, 76, 86, 152, 172, 304, 344, 688, 817, 1634, 3268, 6536, 13072

Factors of 13078

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

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

Least Common Multiple of 13072 and 13078 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13072 and 13078, than apply into the LCM equation.

GCF(13072,13078) = 2
LCM(13072,13078) = ( 13072 × 13078) / 2
LCM(13072,13078) = 170955616 / 2
LCM(13072,13078) = 85477808

Properties of LCM 13072 and 13078

(i) The LCM of 13078 and 13072 is associative

LCM of 13072 and 13078 = LCM of 13078 and 13072

Related Least Common Multiples of 13072

Related Least Common Multiples of 13078

Frequently Asked Questions on LCM of 13072 and 13078

1. What is the LCM of 13072 and 13078?

Answer: LCM of 13072 and 13078 is 85477808.

2. What are the Factors of 13072?

Answer: Factors of 13072 are 1, 2, 4, 8, 16, 19, 38, 43, 76, 86, 152, 172, 304, 344, 688, 817, 1634, 3268, 6536, 13072. There are 20 integers that are factors of 13072. The greatest factor of 13072 is 13072.

3. 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.

4. How to Find the LCM of 13072 and 13078?

Answer:

Least Common Multiple of 13072 and 13078 = 85477808

Step 1: Find the prime factorization of 13072

13072 = 2 x 2 x 2 x 2 x 19 x 43

Step 2: Find the prime factorization of 13078

13078 = 2 x 13 x 503

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

LCM = 85477808 = 2 x 2 x 2 x 2 x 13 x 19 x 43 x 503

Step 4: Therefore, the least common multiple of 13072 and 13078 is 85477808.