Least Common Multiple of 15416 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 15416 and 15422 the smallest integer that is 118872776 that is divisible by both numbers.

Least Common Multiple (LCM) of 15416 and 15422 is 118872776.

LCM(15416,15422) = 118872776

LCM of 15416 and 15422

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

LCM of:
and

Least Common Multiple of 15416 and 15422

LCM of 15416 and 15422 is 118872776

Least common multiple can be found by multiplying the highest exponent prime factors of 15416 and 15422. First we will calculate the prime factors of 15416 and 15422.

Prime Factorization of 15416


2 15416
2 7708
2 3854
41 1927
47 47
1

Prime factors of 15416 are 2, 41,47. Prime factorization of 15416 in exponential form is:

15416 = 23×411×471

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 15416 and 15422.

LCM(15416,15422) = 23×111×411×471×7011
LCM(15416,15422) = 118872776

Factors of 15416

List of positive integer factors of 15416 that divides 15416 without a remainder.

1, 2, 4, 8, 41, 47, 82, 94, 164, 188, 328, 376, 1927, 3854, 7708, 15416

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 15416 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 15416 and 15422, than apply into the LCM equation.

GCF(15416,15422) = 2
LCM(15416,15422) = ( 15416 × 15422) / 2
LCM(15416,15422) = 237745552 / 2
LCM(15416,15422) = 118872776

Properties of LCM 15416 and 15422

(i) The LCM of 15422 and 15416 is associative

LCM of 15416 and 15422 = LCM of 15422 and 15416

Related Least Common Multiples of 15416

Related Least Common Multiples of 15422

Frequently Asked Questions on LCM of 15416 and 15422

1. What is the LCM of 15416 and 15422?

Answer: LCM of 15416 and 15422 is 118872776.

2. What are the Factors of 15416?

Answer: Factors of 15416 are 1, 2, 4, 8, 41, 47, 82, 94, 164, 188, 328, 376, 1927, 3854, 7708, 15416. There are 16 integers that are factors of 15416. The greatest factor of 15416 is 15416.

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 15416 and 15422?

Answer:

Least Common Multiple of 15416 and 15422 = 118872776

Step 1: Find the prime factorization of 15416

15416 = 2 x 2 x 2 x 41 x 47

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 = 118872776 = 2 x 2 x 2 x 11 x 41 x 47 x 701

Step 4: Therefore, the least common multiple of 15416 and 15422 is 118872776.