Least Common Multiple of 13072 and 13077

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 13077 the smallest integer that is 170942544 that is divisible by both numbers.

Least Common Multiple (LCM) of 13072 and 13077 is 170942544.

LCM(13072,13077) = 170942544

LCM of 13072 and 13077

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

LCM of:
and

Least Common Multiple of 13072 and 13077

LCM of 13072 and 13077 is 170942544

Least common multiple can be found by multiplying the highest exponent prime factors of 13072 and 13077. First we will calculate the prime factors of 13072 and 13077.

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 13077


3 13077
3 4359
1453 1453
1

Prime factors of 13077 are 3,1453. Prime factorization of 13077 in exponential form is:

13077 = 32×14531

Now multiplying the highest exponent prime factors to calculate the LCM of 13072 and 13077.

LCM(13072,13077) = 24×32×191×431×14531
LCM(13072,13077) = 170942544

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 13077

List of positive integer factors of 13077 that divides 13077 without a remainder.

1, 3, 9, 1453, 4359, 13077

Least Common Multiple of 13072 and 13077 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 13077, than apply into the LCM equation.

GCF(13072,13077) = 1
LCM(13072,13077) = ( 13072 × 13077) / 1
LCM(13072,13077) = 170942544 / 1
LCM(13072,13077) = 170942544

Properties of LCM 13072 and 13077

(i) The LCM of 13077 and 13072 is associative

LCM of 13072 and 13077 = LCM of 13077 and 13072

Related Least Common Multiples of 13072

Related Least Common Multiples of 13077

Frequently Asked Questions on LCM of 13072 and 13077

1. What is the LCM of 13072 and 13077?

Answer: LCM of 13072 and 13077 is 170942544.

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 13077?

Answer: Factors of 13077 are 1, 3, 9, 1453, 4359, 13077. There are 6 integers that are factors of 13077. The greatest factor of 13077 is 13077.

4. How to Find the LCM of 13072 and 13077?

Answer:

Least Common Multiple of 13072 and 13077 = 170942544

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 13077

13077 = 3 x 3 x 1453

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

LCM = 170942544 = 2 x 2 x 2 x 2 x 3 x 3 x 19 x 43 x 1453

Step 4: Therefore, the least common multiple of 13072 and 13077 is 170942544.