Least Common Multiple of 11416 and 11422

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 11416 and 11422 the smallest integer that is 65196776 that is divisible by both numbers.

Least Common Multiple (LCM) of 11416 and 11422 is 65196776.

LCM(11416,11422) = 65196776

LCM of 11416 and 11422

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

LCM of:
and

Least Common Multiple of 11416 and 11422

LCM of 11416 and 11422 is 65196776

Least common multiple can be found by multiplying the highest exponent prime factors of 11416 and 11422. First we will calculate the prime factors of 11416 and 11422.

Prime Factorization of 11416


2 11416
2 5708
2 2854
1427 1427
1

Prime factors of 11416 are 2,1427. Prime factorization of 11416 in exponential form is:

11416 = 23×14271

Prime Factorization of 11422


2 11422
5711 5711
1

Prime factors of 11422 are 2,5711. Prime factorization of 11422 in exponential form is:

11422 = 21×57111

Now multiplying the highest exponent prime factors to calculate the LCM of 11416 and 11422.

LCM(11416,11422) = 23×14271×57111
LCM(11416,11422) = 65196776

Factors of 11416

List of positive integer factors of 11416 that divides 11416 without a remainder.

1, 2, 4, 8, 1427, 2854, 5708, 11416

Factors of 11422

List of positive integer factors of 11422 that divides 11422 without a remainder.

1, 2, 5711, 11422

Least Common Multiple of 11416 and 11422 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11416 and 11422, than apply into the LCM equation.

GCF(11416,11422) = 2
LCM(11416,11422) = ( 11416 × 11422) / 2
LCM(11416,11422) = 130393552 / 2
LCM(11416,11422) = 65196776

Properties of LCM 11416 and 11422

(i) The LCM of 11422 and 11416 is associative

LCM of 11416 and 11422 = LCM of 11422 and 11416

Related Least Common Multiples of 11416

Related Least Common Multiples of 11422

Frequently Asked Questions on LCM of 11416 and 11422

1. What is the LCM of 11416 and 11422?

Answer: LCM of 11416 and 11422 is 65196776.

2. What are the Factors of 11416?

Answer: Factors of 11416 are 1, 2, 4, 8, 1427, 2854, 5708, 11416. There are 8 integers that are factors of 11416. The greatest factor of 11416 is 11416.

3. What are the Factors of 11422?

Answer: Factors of 11422 are 1, 2, 5711, 11422. There are 4 integers that are factors of 11422. The greatest factor of 11422 is 11422.

4. How to Find the LCM of 11416 and 11422?

Answer:

Least Common Multiple of 11416 and 11422 = 65196776

Step 1: Find the prime factorization of 11416

11416 = 2 x 2 x 2 x 1427

Step 2: Find the prime factorization of 11422

11422 = 2 x 5711

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

LCM = 65196776 = 2 x 2 x 2 x 1427 x 5711

Step 4: Therefore, the least common multiple of 11416 and 11422 is 65196776.