Least Common Multiple of 9416 and 9422

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9416 and 9422 the smallest integer that is 44358776 that is divisible by both numbers.

Least Common Multiple (LCM) of 9416 and 9422 is 44358776.

LCM(9416,9422) = 44358776

LCM of 9416 and 9422

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

LCM of:
and

Least Common Multiple of 9416 and 9422

LCM of 9416 and 9422 is 44358776

Least common multiple can be found by multiplying the highest exponent prime factors of 9416 and 9422. First we will calculate the prime factors of 9416 and 9422.

Prime Factorization of 9416


2 9416
2 4708
2 2354
11 1177
107 107
1

Prime factors of 9416 are 2, 11,107. Prime factorization of 9416 in exponential form is:

9416 = 23×111×1071

Prime Factorization of 9422


2 9422
7 4711
673 673
1

Prime factors of 9422 are 2, 7,673. Prime factorization of 9422 in exponential form is:

9422 = 21×71×6731

Now multiplying the highest exponent prime factors to calculate the LCM of 9416 and 9422.

LCM(9416,9422) = 23×71×111×1071×6731
LCM(9416,9422) = 44358776

Factors of 9416

List of positive integer factors of 9416 that divides 9416 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 107, 214, 428, 856, 1177, 2354, 4708, 9416

Factors of 9422

List of positive integer factors of 9422 that divides 9422 without a remainder.

1, 2, 7, 14, 673, 1346, 4711, 9422

Least Common Multiple of 9416 and 9422 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9416 and 9422, than apply into the LCM equation.

GCF(9416,9422) = 2
LCM(9416,9422) = ( 9416 × 9422) / 2
LCM(9416,9422) = 88717552 / 2
LCM(9416,9422) = 44358776

Properties of LCM 9416 and 9422

(i) The LCM of 9422 and 9416 is associative

LCM of 9416 and 9422 = LCM of 9422 and 9416

Related Least Common Multiples of 9416

Related Least Common Multiples of 9422

Frequently Asked Questions on LCM of 9416 and 9422

1. What is the LCM of 9416 and 9422?

Answer: LCM of 9416 and 9422 is 44358776.

2. What are the Factors of 9416?

Answer: Factors of 9416 are 1, 2, 4, 8, 11, 22, 44, 88, 107, 214, 428, 856, 1177, 2354, 4708, 9416. There are 16 integers that are factors of 9416. The greatest factor of 9416 is 9416.

3. What are the Factors of 9422?

Answer: Factors of 9422 are 1, 2, 7, 14, 673, 1346, 4711, 9422. There are 8 integers that are factors of 9422. The greatest factor of 9422 is 9422.

4. How to Find the LCM of 9416 and 9422?

Answer:

Least Common Multiple of 9416 and 9422 = 44358776

Step 1: Find the prime factorization of 9416

9416 = 2 x 2 x 2 x 11 x 107

Step 2: Find the prime factorization of 9422

9422 = 2 x 7 x 673

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

LCM = 44358776 = 2 x 2 x 2 x 7 x 11 x 107 x 673

Step 4: Therefore, the least common multiple of 9416 and 9422 is 44358776.