Least Common Multiple of 13063 and 13069

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 13063 and 13069 the smallest integer that is 170720347 that is divisible by both numbers.

Least Common Multiple (LCM) of 13063 and 13069 is 170720347.

LCM(13063,13069) = 170720347

LCM of 13063 and 13069

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

LCM of:
and

Least Common Multiple of 13063 and 13069

LCM of 13063 and 13069 is 170720347

Least common multiple can be found by multiplying the highest exponent prime factors of 13063 and 13069. First we will calculate the prime factors of 13063 and 13069.

Prime Factorization of 13063


13063 13063
1

Prime factors of 13063 are 13063. Prime factorization of 13063 in exponential form is:

13063 = 130631

Prime Factorization of 13069


7 13069
1867 1867
1

Prime factors of 13069 are 7,1867. Prime factorization of 13069 in exponential form is:

13069 = 71×18671

Now multiplying the highest exponent prime factors to calculate the LCM of 13063 and 13069.

LCM(13063,13069) = 71×18671×130631
LCM(13063,13069) = 170720347

Factors of 13063

List of positive integer factors of 13063 that divides 13063 without a remainder.

1, 13063

Factors of 13069

List of positive integer factors of 13069 that divides 13069 without a remainder.

1, 7, 1867, 13069

Least Common Multiple of 13063 and 13069 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13063 and 13069, than apply into the LCM equation.

GCF(13063,13069) = 1
LCM(13063,13069) = ( 13063 × 13069) / 1
LCM(13063,13069) = 170720347 / 1
LCM(13063,13069) = 170720347

Properties of LCM 13063 and 13069

(i) The LCM of 13069 and 13063 is associative

LCM of 13063 and 13069 = LCM of 13069 and 13063

Related Least Common Multiples of 13063

Related Least Common Multiples of 13069

Frequently Asked Questions on LCM of 13063 and 13069

1. What is the LCM of 13063 and 13069?

Answer: LCM of 13063 and 13069 is 170720347.

2. What are the Factors of 13063?

Answer: Factors of 13063 are 1, 13063. There are 2 integers that are factors of 13063. The greatest factor of 13063 is 13063.

3. What are the Factors of 13069?

Answer: Factors of 13069 are 1, 7, 1867, 13069. There are 4 integers that are factors of 13069. The greatest factor of 13069 is 13069.

4. How to Find the LCM of 13063 and 13069?

Answer:

Least Common Multiple of 13063 and 13069 = 170720347

Step 1: Find the prime factorization of 13063

13063 = 13063

Step 2: Find the prime factorization of 13069

13069 = 7 x 1867

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

LCM = 170720347 = 7 x 1867 x 13063

Step 4: Therefore, the least common multiple of 13063 and 13069 is 170720347.