Least Common Multiple of 4374 and 4381

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4374 and 4381 the smallest integer that is 19162494 that is divisible by both numbers.

Least Common Multiple (LCM) of 4374 and 4381 is 19162494.

LCM(4374,4381) = 19162494

LCM of 4374 and 4381

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

LCM of:
and

Least Common Multiple of 4374 and 4381

LCM of 4374 and 4381 is 19162494

Least common multiple can be found by multiplying the highest exponent prime factors of 4374 and 4381. First we will calculate the prime factors of 4374 and 4381.

Prime Factorization of 4374


2 4374
3 2187
3 729
3 243
3 81
3 27
3 9
3 3
1

Prime factors of 4374 are 2,3. Prime factorization of 4374 in exponential form is:

4374 = 21×37

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

Now multiplying the highest exponent prime factors to calculate the LCM of 4374 and 4381.

LCM(4374,4381) = 21×37×131×3371
LCM(4374,4381) = 19162494

Factors of 4374

List of positive integer factors of 4374 that divides 4374 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486, 729, 1458, 2187, 4374

Factors of 4381

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

1, 13, 337, 4381

Least Common Multiple of 4374 and 4381 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4374 and 4381, than apply into the LCM equation.

GCF(4374,4381) = 1
LCM(4374,4381) = ( 4374 × 4381) / 1
LCM(4374,4381) = 19162494 / 1
LCM(4374,4381) = 19162494

Properties of LCM 4374 and 4381

(i) The LCM of 4381 and 4374 is associative

LCM of 4374 and 4381 = LCM of 4381 and 4374

Related Least Common Multiples of 4374

Related Least Common Multiples of 4381

Frequently Asked Questions on LCM of 4374 and 4381

1. What is the LCM of 4374 and 4381?

Answer: LCM of 4374 and 4381 is 19162494.

2. What are the Factors of 4374?

Answer: Factors of 4374 are 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486, 729, 1458, 2187, 4374. There are 16 integers that are factors of 4374. The greatest factor of 4374 is 4374.

3. 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.

4. How to Find the LCM of 4374 and 4381?

Answer:

Least Common Multiple of 4374 and 4381 = 19162494

Step 1: Find the prime factorization of 4374

4374 = 2 x 3 x 3 x 3 x 3 x 3 x 3 x 3

Step 2: Find the prime factorization of 4381

4381 = 13 x 337

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

LCM = 19162494 = 2 x 3 x 3 x 3 x 3 x 3 x 3 x 3 x 13 x 337

Step 4: Therefore, the least common multiple of 4374 and 4381 is 19162494.