Least Common Multiple of 15422 and 15426

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 15426 the smallest integer that is 118949886 that is divisible by both numbers.

Least Common Multiple (LCM) of 15422 and 15426 is 118949886.

LCM(15422,15426) = 118949886

LCM of 15422 and 15426

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

LCM of:
and

Least Common Multiple of 15422 and 15426

LCM of 15422 and 15426 is 118949886

Least common multiple can be found by multiplying the highest exponent prime factors of 15422 and 15426. First we will calculate the prime factors of 15422 and 15426.

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 15426


2 15426
3 7713
3 2571
857 857
1

Prime factors of 15426 are 2, 3,857. Prime factorization of 15426 in exponential form is:

15426 = 21×32×8571

Now multiplying the highest exponent prime factors to calculate the LCM of 15422 and 15426.

LCM(15422,15426) = 21×32×111×7011×8571
LCM(15422,15426) = 118949886

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 15426

List of positive integer factors of 15426 that divides 15426 without a remainder.

1, 2, 3, 6, 9, 18, 857, 1714, 2571, 5142, 7713, 15426

Least Common Multiple of 15422 and 15426 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 15426, than apply into the LCM equation.

GCF(15422,15426) = 2
LCM(15422,15426) = ( 15422 × 15426) / 2
LCM(15422,15426) = 237899772 / 2
LCM(15422,15426) = 118949886

Properties of LCM 15422 and 15426

(i) The LCM of 15426 and 15422 is associative

LCM of 15422 and 15426 = LCM of 15426 and 15422

Related Least Common Multiples of 15422

Related Least Common Multiples of 15426

Frequently Asked Questions on LCM of 15422 and 15426

1. What is the LCM of 15422 and 15426?

Answer: LCM of 15422 and 15426 is 118949886.

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 15426?

Answer: Factors of 15426 are 1, 2, 3, 6, 9, 18, 857, 1714, 2571, 5142, 7713, 15426. There are 12 integers that are factors of 15426. The greatest factor of 15426 is 15426.

4. How to Find the LCM of 15422 and 15426?

Answer:

Least Common Multiple of 15422 and 15426 = 118949886

Step 1: Find the prime factorization of 15422

15422 = 2 x 11 x 701

Step 2: Find the prime factorization of 15426

15426 = 2 x 3 x 3 x 857

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

LCM = 118949886 = 2 x 3 x 3 x 11 x 701 x 857

Step 4: Therefore, the least common multiple of 15422 and 15426 is 118949886.