Least Common Multiple of 9402 and 9409

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9402 and 9409 the smallest integer that is 88463418 that is divisible by both numbers.

Least Common Multiple (LCM) of 9402 and 9409 is 88463418.

LCM(9402,9409) = 88463418

LCM of 9402 and 9409

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

LCM of:
and

Least Common Multiple of 9402 and 9409

LCM of 9402 and 9409 is 88463418

Least common multiple can be found by multiplying the highest exponent prime factors of 9402 and 9409. First we will calculate the prime factors of 9402 and 9409.

Prime Factorization of 9402


2 9402
3 4701
1567 1567
1

Prime factors of 9402 are 2, 3,1567. Prime factorization of 9402 in exponential form is:

9402 = 21×31×15671

Prime Factorization of 9409


97 9409
97 97
1

Prime factors of 9409 are 97. Prime factorization of 9409 in exponential form is:

9409 = 972

Now multiplying the highest exponent prime factors to calculate the LCM of 9402 and 9409.

LCM(9402,9409) = 21×31×972×15671
LCM(9402,9409) = 88463418

Factors of 9402

List of positive integer factors of 9402 that divides 9402 without a remainder.

1, 2, 3, 6, 1567, 3134, 4701, 9402

Factors of 9409

List of positive integer factors of 9409 that divides 9409 without a remainder.

1, 97, 9409

Least Common Multiple of 9402 and 9409 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9402 and 9409, than apply into the LCM equation.

GCF(9402,9409) = 1
LCM(9402,9409) = ( 9402 × 9409) / 1
LCM(9402,9409) = 88463418 / 1
LCM(9402,9409) = 88463418

Properties of LCM 9402 and 9409

(i) The LCM of 9409 and 9402 is associative

LCM of 9402 and 9409 = LCM of 9409 and 9402

Related Least Common Multiples of 9402

Related Least Common Multiples of 9409

Frequently Asked Questions on LCM of 9402 and 9409

1. What is the LCM of 9402 and 9409?

Answer: LCM of 9402 and 9409 is 88463418.

2. What are the Factors of 9402?

Answer: Factors of 9402 are 1, 2, 3, 6, 1567, 3134, 4701, 9402. There are 8 integers that are factors of 9402. The greatest factor of 9402 is 9402.

3. What are the Factors of 9409?

Answer: Factors of 9409 are 1, 97, 9409. There are 3 integers that are factors of 9409. The greatest factor of 9409 is 9409.

4. How to Find the LCM of 9402 and 9409?

Answer:

Least Common Multiple of 9402 and 9409 = 88463418

Step 1: Find the prime factorization of 9402

9402 = 2 x 3 x 1567

Step 2: Find the prime factorization of 9409

9409 = 97 x 97

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

LCM = 88463418 = 2 x 3 x 97 x 97 x 1567

Step 4: Therefore, the least common multiple of 9402 and 9409 is 88463418.