Least Common Multiple of 9415 and 9421

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 9421 the smallest integer that is 88698715 that is divisible by both numbers.

Least Common Multiple (LCM) of 9415 and 9421 is 88698715.

LCM(9415,9421) = 88698715

LCM of 9415 and 9421

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

LCM of:
and

Least Common Multiple of 9415 and 9421

LCM of 9415 and 9421 is 88698715

Least common multiple can be found by multiplying the highest exponent prime factors of 9415 and 9421. First we will calculate the prime factors of 9415 and 9421.

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 9421


9421 9421
1

Prime factors of 9421 are 9421. Prime factorization of 9421 in exponential form is:

9421 = 94211

Now multiplying the highest exponent prime factors to calculate the LCM of 9415 and 9421.

LCM(9415,9421) = 51×71×2691×94211
LCM(9415,9421) = 88698715

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 9421

List of positive integer factors of 9421 that divides 9421 without a remainder.

1, 9421

Least Common Multiple of 9415 and 9421 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 9421, than apply into the LCM equation.

GCF(9415,9421) = 1
LCM(9415,9421) = ( 9415 × 9421) / 1
LCM(9415,9421) = 88698715 / 1
LCM(9415,9421) = 88698715

Properties of LCM 9415 and 9421

(i) The LCM of 9421 and 9415 is associative

LCM of 9415 and 9421 = LCM of 9421 and 9415

Related Least Common Multiples of 9415

Related Least Common Multiples of 9421

Frequently Asked Questions on LCM of 9415 and 9421

1. What is the LCM of 9415 and 9421?

Answer: LCM of 9415 and 9421 is 88698715.

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 9421?

Answer: Factors of 9421 are 1, 9421. There are 2 integers that are factors of 9421. The greatest factor of 9421 is 9421.

4. How to Find the LCM of 9415 and 9421?

Answer:

Least Common Multiple of 9415 and 9421 = 88698715

Step 1: Find the prime factorization of 9415

9415 = 5 x 7 x 269

Step 2: Find the prime factorization of 9421

9421 = 9421

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

LCM = 88698715 = 5 x 7 x 269 x 9421

Step 4: Therefore, the least common multiple of 9415 and 9421 is 88698715.