Least Common Multiple of 4394 and 4402

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4394 and 4402 the smallest integer that is 9671194 that is divisible by both numbers.

Least Common Multiple (LCM) of 4394 and 4402 is 9671194.

LCM(4394,4402) = 9671194

LCM of 4394 and 4402

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

LCM of:
and

Least Common Multiple of 4394 and 4402

LCM of 4394 and 4402 is 9671194

Least common multiple can be found by multiplying the highest exponent prime factors of 4394 and 4402. First we will calculate the prime factors of 4394 and 4402.

Prime Factorization of 4394


2 4394
13 2197
13 169
13 13
1

Prime factors of 4394 are 2,13. Prime factorization of 4394 in exponential form is:

4394 = 21×133

Prime Factorization of 4402


2 4402
31 2201
71 71
1

Prime factors of 4402 are 2, 31,71. Prime factorization of 4402 in exponential form is:

4402 = 21×311×711

Now multiplying the highest exponent prime factors to calculate the LCM of 4394 and 4402.

LCM(4394,4402) = 21×133×311×711
LCM(4394,4402) = 9671194

Factors of 4394

List of positive integer factors of 4394 that divides 4394 without a remainder.

1, 2, 13, 26, 169, 338, 2197, 4394

Factors of 4402

List of positive integer factors of 4402 that divides 4402 without a remainder.

1, 2, 31, 62, 71, 142, 2201, 4402

Least Common Multiple of 4394 and 4402 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4394 and 4402, than apply into the LCM equation.

GCF(4394,4402) = 2
LCM(4394,4402) = ( 4394 × 4402) / 2
LCM(4394,4402) = 19342388 / 2
LCM(4394,4402) = 9671194

Properties of LCM 4394 and 4402

(i) The LCM of 4402 and 4394 is associative

LCM of 4394 and 4402 = LCM of 4402 and 4394

Related Least Common Multiples of 4394

Related Least Common Multiples of 4402

Frequently Asked Questions on LCM of 4394 and 4402

1. What is the LCM of 4394 and 4402?

Answer: LCM of 4394 and 4402 is 9671194.

2. What are the Factors of 4394?

Answer: Factors of 4394 are 1, 2, 13, 26, 169, 338, 2197, 4394. There are 8 integers that are factors of 4394. The greatest factor of 4394 is 4394.

3. What are the Factors of 4402?

Answer: Factors of 4402 are 1, 2, 31, 62, 71, 142, 2201, 4402. There are 8 integers that are factors of 4402. The greatest factor of 4402 is 4402.

4. How to Find the LCM of 4394 and 4402?

Answer:

Least Common Multiple of 4394 and 4402 = 9671194

Step 1: Find the prime factorization of 4394

4394 = 2 x 13 x 13 x 13

Step 2: Find the prime factorization of 4402

4402 = 2 x 31 x 71

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

LCM = 9671194 = 2 x 13 x 13 x 13 x 31 x 71

Step 4: Therefore, the least common multiple of 4394 and 4402 is 9671194.