Least Common Multiple of 15422 and 15428

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 15422 and 15428 the smallest integer that is 118965308 that is divisible by both numbers.

Least Common Multiple (LCM) of 15422 and 15428 is 118965308.

LCM(15422,15428) = 118965308

LCM of 15422 and 15428

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

LCM of:
and

Least Common Multiple of 15422 and 15428

LCM of 15422 and 15428 is 118965308

Least common multiple can be found by multiplying the highest exponent prime factors of 15422 and 15428. First we will calculate the prime factors of 15422 and 15428.

Prime Factorization of 15422


2 15422
11 7711
701 701
1

Prime factors of 15422 are 2, 11,701. Prime factorization of 15422 in exponential form is:

15422 = 21×111×7011

Prime Factorization of 15428


2 15428
2 7714
7 3857
19 551
29 29
1

Prime factors of 15428 are 2, 7, 19,29. Prime factorization of 15428 in exponential form is:

15428 = 22×71×191×291

Now multiplying the highest exponent prime factors to calculate the LCM of 15422 and 15428.

LCM(15422,15428) = 22×71×111×191×291×7011
LCM(15422,15428) = 118965308

Factors of 15422

List of positive integer factors of 15422 that divides 15422 without a remainder.

1, 2, 11, 22, 701, 1402, 7711, 15422

Factors of 15428

List of positive integer factors of 15428 that divides 15428 without a remainder.

1, 2, 4, 7, 14, 19, 28, 29, 38, 58, 76, 116, 133, 203, 266, 406, 532, 551, 812, 1102, 2204, 3857, 7714, 15428

Least Common Multiple of 15422 and 15428 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15422 and 15428, than apply into the LCM equation.

GCF(15422,15428) = 2
LCM(15422,15428) = ( 15422 × 15428) / 2
LCM(15422,15428) = 237930616 / 2
LCM(15422,15428) = 118965308

Properties of LCM 15422 and 15428

(i) The LCM of 15428 and 15422 is associative

LCM of 15422 and 15428 = LCM of 15428 and 15422

Related Least Common Multiples of 15422

Related Least Common Multiples of 15428

Frequently Asked Questions on LCM of 15422 and 15428

1. What is the LCM of 15422 and 15428?

Answer: LCM of 15422 and 15428 is 118965308.

2. What are the Factors of 15422?

Answer: Factors of 15422 are 1, 2, 11, 22, 701, 1402, 7711, 15422. There are 8 integers that are factors of 15422. The greatest factor of 15422 is 15422.

3. What are the Factors of 15428?

Answer: Factors of 15428 are 1, 2, 4, 7, 14, 19, 28, 29, 38, 58, 76, 116, 133, 203, 266, 406, 532, 551, 812, 1102, 2204, 3857, 7714, 15428. There are 24 integers that are factors of 15428. The greatest factor of 15428 is 15428.

4. How to Find the LCM of 15422 and 15428?

Answer:

Least Common Multiple of 15422 and 15428 = 118965308

Step 1: Find the prime factorization of 15422

15422 = 2 x 11 x 701

Step 2: Find the prime factorization of 15428

15428 = 2 x 2 x 7 x 19 x 29

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

LCM = 118965308 = 2 x 2 x 7 x 11 x 19 x 29 x 701

Step 4: Therefore, the least common multiple of 15422 and 15428 is 118965308.