Least Common Multiple of 9415 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 9415 and 9422 the smallest integer that is 12672590 that is divisible by both numbers.

Least Common Multiple (LCM) of 9415 and 9422 is 12672590.

LCM(9415,9422) = 12672590

LCM of 9415 and 9422

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

LCM of:
and

Least Common Multiple of 9415 and 9422

LCM of 9415 and 9422 is 12672590

Least common multiple can be found by multiplying the highest exponent prime factors of 9415 and 9422. First we will calculate the prime factors of 9415 and 9422.

Prime Factorization of 9415


5 9415
7 1883
269 269
1

Prime factors of 9415 are 5, 7,269. Prime factorization of 9415 in exponential form is:

9415 = 51×71×2691

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 9415 and 9422.

LCM(9415,9422) = 21×51×71×2691×6731
LCM(9415,9422) = 12672590

Factors of 9415

List of positive integer factors of 9415 that divides 9415 without a remainder.

1, 5, 7, 35, 269, 1345, 1883, 9415

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 9415 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 9415 and 9422, than apply into the LCM equation.

GCF(9415,9422) = 7
LCM(9415,9422) = ( 9415 × 9422) / 7
LCM(9415,9422) = 88708130 / 7
LCM(9415,9422) = 12672590

Properties of LCM 9415 and 9422

(i) The LCM of 9422 and 9415 is associative

LCM of 9415 and 9422 = LCM of 9422 and 9415

Related Least Common Multiples of 9415

Related Least Common Multiples of 9422

Frequently Asked Questions on LCM of 9415 and 9422

1. What is the LCM of 9415 and 9422?

Answer: LCM of 9415 and 9422 is 12672590.

2. What are the Factors of 9415?

Answer: Factors of 9415 are 1, 5, 7, 35, 269, 1345, 1883, 9415. There are 8 integers that are factors of 9415. The greatest factor of 9415 is 9415.

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 9415 and 9422?

Answer:

Least Common Multiple of 9415 and 9422 = 12672590

Step 1: Find the prime factorization of 9415

9415 = 5 x 7 x 269

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 = 12672590 = 2 x 5 x 7 x 269 x 673

Step 4: Therefore, the least common multiple of 9415 and 9422 is 12672590.