Least Common Multiple of 4388 and 4396

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 4396 the smallest integer that is 4822412 that is divisible by both numbers.

Least Common Multiple (LCM) of 4388 and 4396 is 4822412.

LCM(4388,4396) = 4822412

LCM of 4388 and 4396

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

LCM of:
and

Least Common Multiple of 4388 and 4396

LCM of 4388 and 4396 is 4822412

Least common multiple can be found by multiplying the highest exponent prime factors of 4388 and 4396. First we will calculate the prime factors of 4388 and 4396.

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 4396


2 4396
2 2198
7 1099
157 157
1

Prime factors of 4396 are 2, 7,157. Prime factorization of 4396 in exponential form is:

4396 = 22×71×1571

Now multiplying the highest exponent prime factors to calculate the LCM of 4388 and 4396.

LCM(4388,4396) = 22×71×1571×10971
LCM(4388,4396) = 4822412

Factors of 4388

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

1, 2, 4, 1097, 2194, 4388

Factors of 4396

List of positive integer factors of 4396 that divides 4396 without a remainder.

1, 2, 4, 7, 14, 28, 157, 314, 628, 1099, 2198, 4396

Least Common Multiple of 4388 and 4396 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 4396, than apply into the LCM equation.

GCF(4388,4396) = 4
LCM(4388,4396) = ( 4388 × 4396) / 4
LCM(4388,4396) = 19289648 / 4
LCM(4388,4396) = 4822412

Properties of LCM 4388 and 4396

(i) The LCM of 4396 and 4388 is associative

LCM of 4388 and 4396 = LCM of 4396 and 4388

Related Least Common Multiples of 4388

Related Least Common Multiples of 4396

Frequently Asked Questions on LCM of 4388 and 4396

1. What is the LCM of 4388 and 4396?

Answer: LCM of 4388 and 4396 is 4822412.

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 4396?

Answer: Factors of 4396 are 1, 2, 4, 7, 14, 28, 157, 314, 628, 1099, 2198, 4396. There are 12 integers that are factors of 4396. The greatest factor of 4396 is 4396.

4. How to Find the LCM of 4388 and 4396?

Answer:

Least Common Multiple of 4388 and 4396 = 4822412

Step 1: Find the prime factorization of 4388

4388 = 2 x 2 x 1097

Step 2: Find the prime factorization of 4396

4396 = 2 x 2 x 7 x 157

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

LCM = 4822412 = 2 x 2 x 7 x 157 x 1097

Step 4: Therefore, the least common multiple of 4388 and 4396 is 4822412.