Least Common Multiple of 4381 and 4388

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4381 and 4388 the smallest integer that is 19223828 that is divisible by both numbers.

Least Common Multiple (LCM) of 4381 and 4388 is 19223828.

LCM(4381,4388) = 19223828

LCM of 4381 and 4388

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

LCM of:
and

Least Common Multiple of 4381 and 4388

LCM of 4381 and 4388 is 19223828

Least common multiple can be found by multiplying the highest exponent prime factors of 4381 and 4388. First we will calculate the prime factors of 4381 and 4388.

Prime Factorization of 4381


13 4381
337 337
1

Prime factors of 4381 are 13,337. Prime factorization of 4381 in exponential form is:

4381 = 131×3371

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

Now multiplying the highest exponent prime factors to calculate the LCM of 4381 and 4388.

LCM(4381,4388) = 22×131×3371×10971
LCM(4381,4388) = 19223828

Factors of 4381

List of positive integer factors of 4381 that divides 4381 without a remainder.

1, 13, 337, 4381

Factors of 4388

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

1, 2, 4, 1097, 2194, 4388

Least Common Multiple of 4381 and 4388 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4381 and 4388, than apply into the LCM equation.

GCF(4381,4388) = 1
LCM(4381,4388) = ( 4381 × 4388) / 1
LCM(4381,4388) = 19223828 / 1
LCM(4381,4388) = 19223828

Properties of LCM 4381 and 4388

(i) The LCM of 4388 and 4381 is associative

LCM of 4381 and 4388 = LCM of 4388 and 4381

Related Least Common Multiples of 4381

Related Least Common Multiples of 4388

Frequently Asked Questions on LCM of 4381 and 4388

1. What is the LCM of 4381 and 4388?

Answer: LCM of 4381 and 4388 is 19223828.

2. What are the Factors of 4381?

Answer: Factors of 4381 are 1, 13, 337, 4381. There are 4 integers that are factors of 4381. The greatest factor of 4381 is 4381.

3. 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.

4. How to Find the LCM of 4381 and 4388?

Answer:

Least Common Multiple of 4381 and 4388 = 19223828

Step 1: Find the prime factorization of 4381

4381 = 13 x 337

Step 2: Find the prime factorization of 4388

4388 = 2 x 2 x 1097

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

LCM = 19223828 = 2 x 2 x 13 x 337 x 1097

Step 4: Therefore, the least common multiple of 4381 and 4388 is 19223828.