Least Common Multiple of 10063 and 10069

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 10063 and 10069 the smallest integer that is 101324347 that is divisible by both numbers.

Least Common Multiple (LCM) of 10063 and 10069 is 101324347.

LCM(10063,10069) = 101324347

LCM of 10063 and 10069

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

LCM of:
and

Least Common Multiple of 10063 and 10069

LCM of 10063 and 10069 is 101324347

Least common multiple can be found by multiplying the highest exponent prime factors of 10063 and 10069. First we will calculate the prime factors of 10063 and 10069.

Prime Factorization of 10063


29 10063
347 347
1

Prime factors of 10063 are 29,347. Prime factorization of 10063 in exponential form is:

10063 = 291×3471

Prime Factorization of 10069


10069 10069
1

Prime factors of 10069 are 10069. Prime factorization of 10069 in exponential form is:

10069 = 100691

Now multiplying the highest exponent prime factors to calculate the LCM of 10063 and 10069.

LCM(10063,10069) = 291×3471×100691
LCM(10063,10069) = 101324347

Factors of 10063

List of positive integer factors of 10063 that divides 10063 without a remainder.

1, 29, 347, 10063

Factors of 10069

List of positive integer factors of 10069 that divides 10069 without a remainder.

1, 10069

Least Common Multiple of 10063 and 10069 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10063 and 10069, than apply into the LCM equation.

GCF(10063,10069) = 1
LCM(10063,10069) = ( 10063 × 10069) / 1
LCM(10063,10069) = 101324347 / 1
LCM(10063,10069) = 101324347

Properties of LCM 10063 and 10069

(i) The LCM of 10069 and 10063 is associative

LCM of 10063 and 10069 = LCM of 10069 and 10063

Related Least Common Multiples of 10063

Related Least Common Multiples of 10069

Frequently Asked Questions on LCM of 10063 and 10069

1. What is the LCM of 10063 and 10069?

Answer: LCM of 10063 and 10069 is 101324347.

2. What are the Factors of 10063?

Answer: Factors of 10063 are 1, 29, 347, 10063. There are 4 integers that are factors of 10063. The greatest factor of 10063 is 10063.

3. What are the Factors of 10069?

Answer: Factors of 10069 are 1, 10069. There are 2 integers that are factors of 10069. The greatest factor of 10069 is 10069.

4. How to Find the LCM of 10063 and 10069?

Answer:

Least Common Multiple of 10063 and 10069 = 101324347

Step 1: Find the prime factorization of 10063

10063 = 29 x 347

Step 2: Find the prime factorization of 10069

10069 = 10069

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

LCM = 101324347 = 29 x 347 x 10069

Step 4: Therefore, the least common multiple of 10063 and 10069 is 101324347.