Least Common Multiple of 3868 and 3873

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3868 and 3873 the smallest integer that is 14980764 that is divisible by both numbers.

Least Common Multiple (LCM) of 3868 and 3873 is 14980764.

LCM(3868,3873) = 14980764

LCM of 3868 and 3873

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

LCM of:
and

Least Common Multiple of 3868 and 3873

LCM of 3868 and 3873 is 14980764

Least common multiple can be found by multiplying the highest exponent prime factors of 3868 and 3873. First we will calculate the prime factors of 3868 and 3873.

Prime Factorization of 3868


2 3868
2 1934
967 967
1

Prime factors of 3868 are 2,967. Prime factorization of 3868 in exponential form is:

3868 = 22×9671

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

Now multiplying the highest exponent prime factors to calculate the LCM of 3868 and 3873.

LCM(3868,3873) = 22×31×9671×12911
LCM(3868,3873) = 14980764

Factors of 3868

List of positive integer factors of 3868 that divides 3868 without a remainder.

1, 2, 4, 967, 1934, 3868

Factors of 3873

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

1, 3, 1291, 3873

Least Common Multiple of 3868 and 3873 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3868 and 3873, than apply into the LCM equation.

GCF(3868,3873) = 1
LCM(3868,3873) = ( 3868 × 3873) / 1
LCM(3868,3873) = 14980764 / 1
LCM(3868,3873) = 14980764

Properties of LCM 3868 and 3873

(i) The LCM of 3873 and 3868 is associative

LCM of 3868 and 3873 = LCM of 3873 and 3868

Related Least Common Multiples of 3868

Related Least Common Multiples of 3873

Frequently Asked Questions on LCM of 3868 and 3873

1. What is the LCM of 3868 and 3873?

Answer: LCM of 3868 and 3873 is 14980764.

2. What are the Factors of 3868?

Answer: Factors of 3868 are 1, 2, 4, 967, 1934, 3868. There are 6 integers that are factors of 3868. The greatest factor of 3868 is 3868.

3. 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.

4. How to Find the LCM of 3868 and 3873?

Answer:

Least Common Multiple of 3868 and 3873 = 14980764

Step 1: Find the prime factorization of 3868

3868 = 2 x 2 x 967

Step 2: Find the prime factorization of 3873

3873 = 3 x 1291

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

LCM = 14980764 = 2 x 2 x 3 x 967 x 1291

Step 4: Therefore, the least common multiple of 3868 and 3873 is 14980764.