Least Common Multiple of 4388 and 4394

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Free LCM Calculator determines the least common multiple (LCM) between 4388 and 4394 the smallest integer that is 9640436 that is divisible by both numbers.

Least Common Multiple (LCM) of 4388 and 4394 is 9640436.

LCM(4388,4394) = 9640436

LCM of 4388 and 4394

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

LCM of:
and

Least Common Multiple of 4388 and 4394

LCM of 4388 and 4394 is 9640436

Least common multiple can be found by multiplying the highest exponent prime factors of 4388 and 4394. First we will calculate the prime factors of 4388 and 4394.

Prime Factorization of 4388


2 4388
2 2194
1097 1097
1

Prime factors of 4388 are 2,1097. Prime factorization of 4388 in exponential form is:

4388 = 22×10971

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

Now multiplying the highest exponent prime factors to calculate the LCM of 4388 and 4394.

LCM(4388,4394) = 22×133×10971
LCM(4388,4394) = 9640436

Factors of 4388

List of positive integer factors of 4388 that divides 4388 without a remainder.

1, 2, 4, 1097, 2194, 4388

Factors of 4394

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

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

Least Common Multiple of 4388 and 4394 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4388 and 4394, than apply into the LCM equation.

GCF(4388,4394) = 2
LCM(4388,4394) = ( 4388 × 4394) / 2
LCM(4388,4394) = 19280872 / 2
LCM(4388,4394) = 9640436

Properties of LCM 4388 and 4394

(i) The LCM of 4394 and 4388 is associative

LCM of 4388 and 4394 = LCM of 4394 and 4388

Frequently Asked Questions on LCM of 4388 and 4394

1. What is the LCM of 4388 and 4394?

Answer: LCM of 4388 and 4394 is 9640436.

2. What are the Factors of 4388?

Answer: Factors of 4388 are 1, 2, 4, 1097, 2194, 4388. There are 6 integers that are factors of 4388. The greatest factor of 4388 is 4388.

3. 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.

4. How to Find the LCM of 4388 and 4394?

Answer:

Least Common Multiple of 4388 and 4394 = 9640436

Step 1: Find the prime factorization of 4388

4388 = 2 x 2 x 1097

Step 2: Find the prime factorization of 4394

4394 = 2 x 13 x 13 x 13

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

LCM = 9640436 = 2 x 2 x 13 x 13 x 13 x 1097

Step 4: Therefore, the least common multiple of 4388 and 4394 is 9640436.