Least Common Multiple of 9395 and 9402

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9395 and 9402 the smallest integer that is 88331790 that is divisible by both numbers.

Least Common Multiple (LCM) of 9395 and 9402 is 88331790.

LCM(9395,9402) = 88331790

LCM of 9395 and 9402

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

LCM of:
and

Least Common Multiple of 9395 and 9402

LCM of 9395 and 9402 is 88331790

Least common multiple can be found by multiplying the highest exponent prime factors of 9395 and 9402. First we will calculate the prime factors of 9395 and 9402.

Prime Factorization of 9395


5 9395
1879 1879
1

Prime factors of 9395 are 5,1879. Prime factorization of 9395 in exponential form is:

9395 = 51×18791

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

Now multiplying the highest exponent prime factors to calculate the LCM of 9395 and 9402.

LCM(9395,9402) = 21×31×51×15671×18791
LCM(9395,9402) = 88331790

Factors of 9395

List of positive integer factors of 9395 that divides 9395 without a remainder.

1, 5, 1879, 9395

Factors of 9402

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

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

Least Common Multiple of 9395 and 9402 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9395 and 9402, than apply into the LCM equation.

GCF(9395,9402) = 1
LCM(9395,9402) = ( 9395 × 9402) / 1
LCM(9395,9402) = 88331790 / 1
LCM(9395,9402) = 88331790

Properties of LCM 9395 and 9402

(i) The LCM of 9402 and 9395 is associative

LCM of 9395 and 9402 = LCM of 9402 and 9395

Related Least Common Multiples of 9395

Related Least Common Multiples of 9402

Frequently Asked Questions on LCM of 9395 and 9402

1. What is the LCM of 9395 and 9402?

Answer: LCM of 9395 and 9402 is 88331790.

2. What are the Factors of 9395?

Answer: Factors of 9395 are 1, 5, 1879, 9395. There are 4 integers that are factors of 9395. The greatest factor of 9395 is 9395.

3. 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.

4. How to Find the LCM of 9395 and 9402?

Answer:

Least Common Multiple of 9395 and 9402 = 88331790

Step 1: Find the prime factorization of 9395

9395 = 5 x 1879

Step 2: Find the prime factorization of 9402

9402 = 2 x 3 x 1567

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

LCM = 88331790 = 2 x 3 x 5 x 1567 x 1879

Step 4: Therefore, the least common multiple of 9395 and 9402 is 88331790.