Least Common Multiple of 9403 and 9407

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9403 and 9407 the smallest integer that is 88454021 that is divisible by both numbers.

Least Common Multiple (LCM) of 9403 and 9407 is 88454021.

LCM(9403,9407) = 88454021

LCM of 9403 and 9407

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

LCM of:
and

Least Common Multiple of 9403 and 9407

LCM of 9403 and 9407 is 88454021

Least common multiple can be found by multiplying the highest exponent prime factors of 9403 and 9407. First we will calculate the prime factors of 9403 and 9407.

Prime Factorization of 9403


9403 9403
1

Prime factors of 9403 are 9403. Prime factorization of 9403 in exponential form is:

9403 = 94031

Prime Factorization of 9407


23 9407
409 409
1

Prime factors of 9407 are 23,409. Prime factorization of 9407 in exponential form is:

9407 = 231×4091

Now multiplying the highest exponent prime factors to calculate the LCM of 9403 and 9407.

LCM(9403,9407) = 231×4091×94031
LCM(9403,9407) = 88454021

Factors of 9403

List of positive integer factors of 9403 that divides 9403 without a remainder.

1, 9403

Factors of 9407

List of positive integer factors of 9407 that divides 9407 without a remainder.

1, 23, 409, 9407

Least Common Multiple of 9403 and 9407 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9403 and 9407, than apply into the LCM equation.

GCF(9403,9407) = 1
LCM(9403,9407) = ( 9403 × 9407) / 1
LCM(9403,9407) = 88454021 / 1
LCM(9403,9407) = 88454021

Properties of LCM 9403 and 9407

(i) The LCM of 9407 and 9403 is associative

LCM of 9403 and 9407 = LCM of 9407 and 9403

Related Least Common Multiples of 9403

Related Least Common Multiples of 9407

Frequently Asked Questions on LCM of 9403 and 9407

1. What is the LCM of 9403 and 9407?

Answer: LCM of 9403 and 9407 is 88454021.

2. What are the Factors of 9403?

Answer: Factors of 9403 are 1, 9403. There are 2 integers that are factors of 9403. The greatest factor of 9403 is 9403.

3. What are the Factors of 9407?

Answer: Factors of 9407 are 1, 23, 409, 9407. There are 4 integers that are factors of 9407. The greatest factor of 9407 is 9407.

4. How to Find the LCM of 9403 and 9407?

Answer:

Least Common Multiple of 9403 and 9407 = 88454021

Step 1: Find the prime factorization of 9403

9403 = 9403

Step 2: Find the prime factorization of 9407

9407 = 23 x 409

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

LCM = 88454021 = 23 x 409 x 9403

Step 4: Therefore, the least common multiple of 9403 and 9407 is 88454021.