Least Common Multiple of 4374 and 4382

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 4382 the smallest integer that is 9583434 that is divisible by both numbers.

Least Common Multiple (LCM) of 4374 and 4382 is 9583434.

LCM(4374,4382) = 9583434

LCM of 4374 and 4382

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

LCM of:
and

Least Common Multiple of 4374 and 4382

LCM of 4374 and 4382 is 9583434

Least common multiple can be found by multiplying the highest exponent prime factors of 4374 and 4382. First we will calculate the prime factors of 4374 and 4382.

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 4382


2 4382
7 2191
313 313
1

Prime factors of 4382 are 2, 7,313. Prime factorization of 4382 in exponential form is:

4382 = 21×71×3131

Now multiplying the highest exponent prime factors to calculate the LCM of 4374 and 4382.

LCM(4374,4382) = 21×37×71×3131
LCM(4374,4382) = 9583434

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 4382

List of positive integer factors of 4382 that divides 4382 without a remainder.

1, 2, 7, 14, 313, 626, 2191, 4382

Least Common Multiple of 4374 and 4382 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 4382, than apply into the LCM equation.

GCF(4374,4382) = 2
LCM(4374,4382) = ( 4374 × 4382) / 2
LCM(4374,4382) = 19166868 / 2
LCM(4374,4382) = 9583434

Properties of LCM 4374 and 4382

(i) The LCM of 4382 and 4374 is associative

LCM of 4374 and 4382 = LCM of 4382 and 4374

Related Least Common Multiples of 4374

Related Least Common Multiples of 4382

Frequently Asked Questions on LCM of 4374 and 4382

1. What is the LCM of 4374 and 4382?

Answer: LCM of 4374 and 4382 is 9583434.

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 4382?

Answer: Factors of 4382 are 1, 2, 7, 14, 313, 626, 2191, 4382. There are 8 integers that are factors of 4382. The greatest factor of 4382 is 4382.

4. How to Find the LCM of 4374 and 4382?

Answer:

Least Common Multiple of 4374 and 4382 = 9583434

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 4382

4382 = 2 x 7 x 313

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

LCM = 9583434 = 2 x 3 x 3 x 3 x 3 x 3 x 3 x 3 x 7 x 313

Step 4: Therefore, the least common multiple of 4374 and 4382 is 9583434.