Least Common Multiple of 10442 and 10450

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 10442 and 10450 the smallest integer that is 54559450 that is divisible by both numbers.

Least Common Multiple (LCM) of 10442 and 10450 is 54559450.

LCM(10442,10450) = 54559450

LCM of 10442 and 10450

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

LCM of:
and

Least Common Multiple of 10442 and 10450

LCM of 10442 and 10450 is 54559450

Least common multiple can be found by multiplying the highest exponent prime factors of 10442 and 10450. First we will calculate the prime factors of 10442 and 10450.

Prime Factorization of 10442


2 10442
23 5221
227 227
1

Prime factors of 10442 are 2, 23,227. Prime factorization of 10442 in exponential form is:

10442 = 21×231×2271

Prime Factorization of 10450


2 10450
5 5225
5 1045
11 209
19 19
1

Prime factors of 10450 are 2, 5, 11,19. Prime factorization of 10450 in exponential form is:

10450 = 21×52×111×191

Now multiplying the highest exponent prime factors to calculate the LCM of 10442 and 10450.

LCM(10442,10450) = 21×52×111×191×231×2271
LCM(10442,10450) = 54559450

Factors of 10442

List of positive integer factors of 10442 that divides 10442 without a remainder.

1, 2, 23, 46, 227, 454, 5221, 10442

Factors of 10450

List of positive integer factors of 10450 that divides 10450 without a remainder.

1, 2, 5, 10, 11, 19, 22, 25, 38, 50, 55, 95, 110, 190, 209, 275, 418, 475, 550, 950, 1045, 2090, 5225, 10450

Least Common Multiple of 10442 and 10450 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10442 and 10450, than apply into the LCM equation.

GCF(10442,10450) = 2
LCM(10442,10450) = ( 10442 × 10450) / 2
LCM(10442,10450) = 109118900 / 2
LCM(10442,10450) = 54559450

Properties of LCM 10442 and 10450

(i) The LCM of 10450 and 10442 is associative

LCM of 10442 and 10450 = LCM of 10450 and 10442

Related Least Common Multiples of 10442

Related Least Common Multiples of 10450

Frequently Asked Questions on LCM of 10442 and 10450

1. What is the LCM of 10442 and 10450?

Answer: LCM of 10442 and 10450 is 54559450.

2. What are the Factors of 10442?

Answer: Factors of 10442 are 1, 2, 23, 46, 227, 454, 5221, 10442. There are 8 integers that are factors of 10442. The greatest factor of 10442 is 10442.

3. What are the Factors of 10450?

Answer: Factors of 10450 are 1, 2, 5, 10, 11, 19, 22, 25, 38, 50, 55, 95, 110, 190, 209, 275, 418, 475, 550, 950, 1045, 2090, 5225, 10450. There are 24 integers that are factors of 10450. The greatest factor of 10450 is 10450.

4. How to Find the LCM of 10442 and 10450?

Answer:

Least Common Multiple of 10442 and 10450 = 54559450

Step 1: Find the prime factorization of 10442

10442 = 2 x 23 x 227

Step 2: Find the prime factorization of 10450

10450 = 2 x 5 x 5 x 11 x 19

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

LCM = 54559450 = 2 x 5 x 5 x 11 x 19 x 23 x 227

Step 4: Therefore, the least common multiple of 10442 and 10450 is 54559450.