Least Common Multiple of 3879 and 3884

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3879 and 3884 the smallest integer that is 15066036 that is divisible by both numbers.

Least Common Multiple (LCM) of 3879 and 3884 is 15066036.

LCM(3879,3884) = 15066036

LCM of 3879 and 3884

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

LCM of:
and

Least Common Multiple of 3879 and 3884

LCM of 3879 and 3884 is 15066036

Least common multiple can be found by multiplying the highest exponent prime factors of 3879 and 3884. First we will calculate the prime factors of 3879 and 3884.

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

Prime Factorization of 3884


2 3884
2 1942
971 971
1

Prime factors of 3884 are 2,971. Prime factorization of 3884 in exponential form is:

3884 = 22×9711

Now multiplying the highest exponent prime factors to calculate the LCM of 3879 and 3884.

LCM(3879,3884) = 22×32×4311×9711
LCM(3879,3884) = 15066036

Factors of 3879

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

1, 3, 9, 431, 1293, 3879

Factors of 3884

List of positive integer factors of 3884 that divides 3884 without a remainder.

1, 2, 4, 971, 1942, 3884

Least Common Multiple of 3879 and 3884 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3879 and 3884, than apply into the LCM equation.

GCF(3879,3884) = 1
LCM(3879,3884) = ( 3879 × 3884) / 1
LCM(3879,3884) = 15066036 / 1
LCM(3879,3884) = 15066036

Properties of LCM 3879 and 3884

(i) The LCM of 3884 and 3879 is associative

LCM of 3879 and 3884 = LCM of 3884 and 3879

Related Least Common Multiples of 3879

Related Least Common Multiples of 3884

Frequently Asked Questions on LCM of 3879 and 3884

1. What is the LCM of 3879 and 3884?

Answer: LCM of 3879 and 3884 is 15066036.

2. 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.

3. What are the Factors of 3884?

Answer: Factors of 3884 are 1, 2, 4, 971, 1942, 3884. There are 6 integers that are factors of 3884. The greatest factor of 3884 is 3884.

4. How to Find the LCM of 3879 and 3884?

Answer:

Least Common Multiple of 3879 and 3884 = 15066036

Step 1: Find the prime factorization of 3879

3879 = 3 x 3 x 431

Step 2: Find the prime factorization of 3884

3884 = 2 x 2 x 971

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

LCM = 15066036 = 2 x 2 x 3 x 3 x 431 x 971

Step 4: Therefore, the least common multiple of 3879 and 3884 is 15066036.