Least Common Multiple of 10242 and 10246

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 10246 the smallest integer that is 52469766 that is divisible by both numbers.

Least Common Multiple (LCM) of 10242 and 10246 is 52469766.

LCM(10242,10246) = 52469766

LCM of 10242 and 10246

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

LCM of:
and

Least Common Multiple of 10242 and 10246

LCM of 10242 and 10246 is 52469766

Least common multiple can be found by multiplying the highest exponent prime factors of 10242 and 10246. First we will calculate the prime factors of 10242 and 10246.

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 10246


2 10246
47 5123
109 109
1

Prime factors of 10246 are 2, 47,109. Prime factorization of 10246 in exponential form is:

10246 = 21×471×1091

Now multiplying the highest exponent prime factors to calculate the LCM of 10242 and 10246.

LCM(10242,10246) = 21×32×471×1091×5691
LCM(10242,10246) = 52469766

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 10246

List of positive integer factors of 10246 that divides 10246 without a remainder.

1, 2, 47, 94, 109, 218, 5123, 10246

Least Common Multiple of 10242 and 10246 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 10246, than apply into the LCM equation.

GCF(10242,10246) = 2
LCM(10242,10246) = ( 10242 × 10246) / 2
LCM(10242,10246) = 104939532 / 2
LCM(10242,10246) = 52469766

Properties of LCM 10242 and 10246

(i) The LCM of 10246 and 10242 is associative

LCM of 10242 and 10246 = LCM of 10246 and 10242

Related Least Common Multiples of 10242

Related Least Common Multiples of 10246

Frequently Asked Questions on LCM of 10242 and 10246

1. What is the LCM of 10242 and 10246?

Answer: LCM of 10242 and 10246 is 52469766.

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 10246?

Answer: Factors of 10246 are 1, 2, 47, 94, 109, 218, 5123, 10246. There are 8 integers that are factors of 10246. The greatest factor of 10246 is 10246.

4. How to Find the LCM of 10242 and 10246?

Answer:

Least Common Multiple of 10242 and 10246 = 52469766

Step 1: Find the prime factorization of 10242

10242 = 2 x 3 x 3 x 569

Step 2: Find the prime factorization of 10246

10246 = 2 x 47 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 = 52469766 = 2 x 3 x 3 x 47 x 109 x 569

Step 4: Therefore, the least common multiple of 10242 and 10246 is 52469766.