Least Common Multiple of 15415 and 15422

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 15415 and 15422 the smallest integer that is 237730130 that is divisible by both numbers.

Least Common Multiple (LCM) of 15415 and 15422 is 237730130.

LCM(15415,15422) = 237730130

LCM of 15415 and 15422

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

LCM of:
and

Least Common Multiple of 15415 and 15422

LCM of 15415 and 15422 is 237730130

Least common multiple can be found by multiplying the highest exponent prime factors of 15415 and 15422. First we will calculate the prime factors of 15415 and 15422.

Prime Factorization of 15415


5 15415
3083 3083
1

Prime factors of 15415 are 5,3083. Prime factorization of 15415 in exponential form is:

15415 = 51×30831

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

Now multiplying the highest exponent prime factors to calculate the LCM of 15415 and 15422.

LCM(15415,15422) = 21×51×111×7011×30831
LCM(15415,15422) = 237730130

Factors of 15415

List of positive integer factors of 15415 that divides 15415 without a remainder.

1, 5, 3083, 15415

Factors of 15422

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

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

Least Common Multiple of 15415 and 15422 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15415 and 15422, than apply into the LCM equation.

GCF(15415,15422) = 1
LCM(15415,15422) = ( 15415 × 15422) / 1
LCM(15415,15422) = 237730130 / 1
LCM(15415,15422) = 237730130

Properties of LCM 15415 and 15422

(i) The LCM of 15422 and 15415 is associative

LCM of 15415 and 15422 = LCM of 15422 and 15415

Related Least Common Multiples of 15415

Related Least Common Multiples of 15422

Frequently Asked Questions on LCM of 15415 and 15422

1. What is the LCM of 15415 and 15422?

Answer: LCM of 15415 and 15422 is 237730130.

2. What are the Factors of 15415?

Answer: Factors of 15415 are 1, 5, 3083, 15415. There are 4 integers that are factors of 15415. The greatest factor of 15415 is 15415.

3. 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.

4. How to Find the LCM of 15415 and 15422?

Answer:

Least Common Multiple of 15415 and 15422 = 237730130

Step 1: Find the prime factorization of 15415

15415 = 5 x 3083

Step 2: Find the prime factorization of 15422

15422 = 2 x 11 x 701

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

LCM = 237730130 = 2 x 5 x 11 x 701 x 3083

Step 4: Therefore, the least common multiple of 15415 and 15422 is 237730130.