Least Common Multiple of 10242 and 10247

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 10242 and 10247 the smallest integer that is 104949774 that is divisible by both numbers.

Least Common Multiple (LCM) of 10242 and 10247 is 104949774.

LCM(10242,10247) = 104949774

LCM of 10242 and 10247

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

LCM of:
and

Least Common Multiple of 10242 and 10247

LCM of 10242 and 10247 is 104949774

Least common multiple can be found by multiplying the highest exponent prime factors of 10242 and 10247. First we will calculate the prime factors of 10242 and 10247.

Prime Factorization of 10242


2 10242
3 5121
3 1707
569 569
1

Prime factors of 10242 are 2, 3,569. Prime factorization of 10242 in exponential form is:

10242 = 21×32×5691

Prime Factorization of 10247


10247 10247
1

Prime factors of 10247 are 10247. Prime factorization of 10247 in exponential form is:

10247 = 102471

Now multiplying the highest exponent prime factors to calculate the LCM of 10242 and 10247.

LCM(10242,10247) = 21×32×5691×102471
LCM(10242,10247) = 104949774

Factors of 10242

List of positive integer factors of 10242 that divides 10242 without a remainder.

1, 2, 3, 6, 9, 18, 569, 1138, 1707, 3414, 5121, 10242

Factors of 10247

List of positive integer factors of 10247 that divides 10247 without a remainder.

1, 10247

Least Common Multiple of 10242 and 10247 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10242 and 10247, than apply into the LCM equation.

GCF(10242,10247) = 1
LCM(10242,10247) = ( 10242 × 10247) / 1
LCM(10242,10247) = 104949774 / 1
LCM(10242,10247) = 104949774

Properties of LCM 10242 and 10247

(i) The LCM of 10247 and 10242 is associative

LCM of 10242 and 10247 = LCM of 10247 and 10242

Related Least Common Multiples of 10242

Related Least Common Multiples of 10247

Frequently Asked Questions on LCM of 10242 and 10247

1. What is the LCM of 10242 and 10247?

Answer: LCM of 10242 and 10247 is 104949774.

2. What are the Factors of 10242?

Answer: Factors of 10242 are 1, 2, 3, 6, 9, 18, 569, 1138, 1707, 3414, 5121, 10242. There are 12 integers that are factors of 10242. The greatest factor of 10242 is 10242.

3. What are the Factors of 10247?

Answer: Factors of 10247 are 1, 10247. There are 2 integers that are factors of 10247. The greatest factor of 10247 is 10247.

4. How to Find the LCM of 10242 and 10247?

Answer:

Least Common Multiple of 10242 and 10247 = 104949774

Step 1: Find the prime factorization of 10242

10242 = 2 x 3 x 3 x 569

Step 2: Find the prime factorization of 10247

10247 = 10247

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

LCM = 104949774 = 2 x 3 x 3 x 569 x 10247

Step 4: Therefore, the least common multiple of 10242 and 10247 is 104949774.