Least Common Multiple of 3873 and 3879

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3873 and 3879 the smallest integer that is 5007789 that is divisible by both numbers.

Least Common Multiple (LCM) of 3873 and 3879 is 5007789.

LCM(3873,3879) = 5007789

LCM of 3873 and 3879

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

LCM of:
and

Least Common Multiple of 3873 and 3879

LCM of 3873 and 3879 is 5007789

Least common multiple can be found by multiplying the highest exponent prime factors of 3873 and 3879. First we will calculate the prime factors of 3873 and 3879.

Prime Factorization of 3873


3 3873
1291 1291
1

Prime factors of 3873 are 3,1291. Prime factorization of 3873 in exponential form is:

3873 = 31×12911

Prime Factorization of 3879


3 3879
3 1293
431 431
1

Prime factors of 3879 are 3,431. Prime factorization of 3879 in exponential form is:

3879 = 32×4311

Now multiplying the highest exponent prime factors to calculate the LCM of 3873 and 3879.

LCM(3873,3879) = 32×4311×12911
LCM(3873,3879) = 5007789

Factors of 3873

List of positive integer factors of 3873 that divides 3873 without a remainder.

1, 3, 1291, 3873

Factors of 3879

List of positive integer factors of 3879 that divides 3879 without a remainder.

1, 3, 9, 431, 1293, 3879

Least Common Multiple of 3873 and 3879 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3873 and 3879, than apply into the LCM equation.

GCF(3873,3879) = 3
LCM(3873,3879) = ( 3873 × 3879) / 3
LCM(3873,3879) = 15023367 / 3
LCM(3873,3879) = 5007789

Properties of LCM 3873 and 3879

(i) The LCM of 3879 and 3873 is associative

LCM of 3873 and 3879 = LCM of 3879 and 3873

Related Least Common Multiples of 3873

Related Least Common Multiples of 3879

Frequently Asked Questions on LCM of 3873 and 3879

1. What is the LCM of 3873 and 3879?

Answer: LCM of 3873 and 3879 is 5007789.

2. What are the Factors of 3873?

Answer: Factors of 3873 are 1, 3, 1291, 3873. There are 4 integers that are factors of 3873. The greatest factor of 3873 is 3873.

3. What are the Factors of 3879?

Answer: Factors of 3879 are 1, 3, 9, 431, 1293, 3879. There are 6 integers that are factors of 3879. The greatest factor of 3879 is 3879.

4. How to Find the LCM of 3873 and 3879?

Answer:

Least Common Multiple of 3873 and 3879 = 5007789

Step 1: Find the prime factorization of 3873

3873 = 3 x 1291

Step 2: Find the prime factorization of 3879

3879 = 3 x 3 x 431

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

LCM = 5007789 = 3 x 3 x 431 x 1291

Step 4: Therefore, the least common multiple of 3873 and 3879 is 5007789.