Least Common Multiple of 13072 and 13080

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 13080 the smallest integer that is 21372720 that is divisible by both numbers.

Least Common Multiple (LCM) of 13072 and 13080 is 21372720.

LCM(13072,13080) = 21372720

LCM of 13072 and 13080

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

LCM of:
and

Least Common Multiple of 13072 and 13080

LCM of 13072 and 13080 is 21372720

Least common multiple can be found by multiplying the highest exponent prime factors of 13072 and 13080. First we will calculate the prime factors of 13072 and 13080.

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 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

Now multiplying the highest exponent prime factors to calculate the LCM of 13072 and 13080.

LCM(13072,13080) = 24×31×51×191×431×1091
LCM(13072,13080) = 21372720

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 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

Least Common Multiple of 13072 and 13080 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 13080, than apply into the LCM equation.

GCF(13072,13080) = 8
LCM(13072,13080) = ( 13072 × 13080) / 8
LCM(13072,13080) = 170981760 / 8
LCM(13072,13080) = 21372720

Properties of LCM 13072 and 13080

(i) The LCM of 13080 and 13072 is associative

LCM of 13072 and 13080 = LCM of 13080 and 13072

Related Least Common Multiples of 13072

Related Least Common Multiples of 13080

Frequently Asked Questions on LCM of 13072 and 13080

1. What is the LCM of 13072 and 13080?

Answer: LCM of 13072 and 13080 is 21372720.

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 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.

4. How to Find the LCM of 13072 and 13080?

Answer:

Least Common Multiple of 13072 and 13080 = 21372720

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 13080

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

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

LCM = 21372720 = 2 x 2 x 2 x 2 x 3 x 5 x 19 x 43 x 109

Step 4: Therefore, the least common multiple of 13072 and 13080 is 21372720.