Least Common Multiple of 6374 and 6381

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6374 and 6381 the smallest integer that is 40672494 that is divisible by both numbers.

Least Common Multiple (LCM) of 6374 and 6381 is 40672494.

LCM(6374,6381) = 40672494

LCM of 6374 and 6381

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

LCM of:
and

Least Common Multiple of 6374 and 6381

LCM of 6374 and 6381 is 40672494

Least common multiple can be found by multiplying the highest exponent prime factors of 6374 and 6381. First we will calculate the prime factors of 6374 and 6381.

Prime Factorization of 6374


2 6374
3187 3187
1

Prime factors of 6374 are 2,3187. Prime factorization of 6374 in exponential form is:

6374 = 21×31871

Prime Factorization of 6381


3 6381
3 2127
709 709
1

Prime factors of 6381 are 3,709. Prime factorization of 6381 in exponential form is:

6381 = 32×7091

Now multiplying the highest exponent prime factors to calculate the LCM of 6374 and 6381.

LCM(6374,6381) = 21×32×7091×31871
LCM(6374,6381) = 40672494

Factors of 6374

List of positive integer factors of 6374 that divides 6374 without a remainder.

1, 2, 3187, 6374

Factors of 6381

List of positive integer factors of 6381 that divides 6381 without a remainder.

1, 3, 9, 709, 2127, 6381

Least Common Multiple of 6374 and 6381 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6374 and 6381, than apply into the LCM equation.

GCF(6374,6381) = 1
LCM(6374,6381) = ( 6374 × 6381) / 1
LCM(6374,6381) = 40672494 / 1
LCM(6374,6381) = 40672494

Properties of LCM 6374 and 6381

(i) The LCM of 6381 and 6374 is associative

LCM of 6374 and 6381 = LCM of 6381 and 6374

Related Least Common Multiples of 6374

Related Least Common Multiples of 6381

Frequently Asked Questions on LCM of 6374 and 6381

1. What is the LCM of 6374 and 6381?

Answer: LCM of 6374 and 6381 is 40672494.

2. What are the Factors of 6374?

Answer: Factors of 6374 are 1, 2, 3187, 6374. There are 4 integers that are factors of 6374. The greatest factor of 6374 is 6374.

3. What are the Factors of 6381?

Answer: Factors of 6381 are 1, 3, 9, 709, 2127, 6381. There are 6 integers that are factors of 6381. The greatest factor of 6381 is 6381.

4. How to Find the LCM of 6374 and 6381?

Answer:

Least Common Multiple of 6374 and 6381 = 40672494

Step 1: Find the prime factorization of 6374

6374 = 2 x 3187

Step 2: Find the prime factorization of 6381

6381 = 3 x 3 x 709

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

LCM = 40672494 = 2 x 3 x 3 x 709 x 3187

Step 4: Therefore, the least common multiple of 6374 and 6381 is 40672494.