Least Common Multiple of 3876 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 3876 and 3884 the smallest integer that is 3763596 that is divisible by both numbers.

Least Common Multiple (LCM) of 3876 and 3884 is 3763596.

LCM(3876,3884) = 3763596

LCM of 3876 and 3884

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

LCM of:
and

Least Common Multiple of 3876 and 3884

LCM of 3876 and 3884 is 3763596

Least common multiple can be found by multiplying the highest exponent prime factors of 3876 and 3884. First we will calculate the prime factors of 3876 and 3884.

Prime Factorization of 3876


2 3876
2 1938
3 969
17 323
19 19
1

Prime factors of 3876 are 2, 3, 17,19. Prime factorization of 3876 in exponential form is:

3876 = 22×31×171×191

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 3876 and 3884.

LCM(3876,3884) = 22×31×171×191×9711
LCM(3876,3884) = 3763596

Factors of 3876

List of positive integer factors of 3876 that divides 3876 without a remainder.

1, 2, 3, 4, 6, 12, 17, 19, 34, 38, 51, 57, 68, 76, 102, 114, 204, 228, 323, 646, 969, 1292, 1938, 3876

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 3876 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 3876 and 3884, than apply into the LCM equation.

GCF(3876,3884) = 4
LCM(3876,3884) = ( 3876 × 3884) / 4
LCM(3876,3884) = 15054384 / 4
LCM(3876,3884) = 3763596

Properties of LCM 3876 and 3884

(i) The LCM of 3884 and 3876 is associative

LCM of 3876 and 3884 = LCM of 3884 and 3876

Related Least Common Multiples of 3876

Related Least Common Multiples of 3884

Frequently Asked Questions on LCM of 3876 and 3884

1. What is the LCM of 3876 and 3884?

Answer: LCM of 3876 and 3884 is 3763596.

2. What are the Factors of 3876?

Answer: Factors of 3876 are 1, 2, 3, 4, 6, 12, 17, 19, 34, 38, 51, 57, 68, 76, 102, 114, 204, 228, 323, 646, 969, 1292, 1938, 3876. There are 24 integers that are factors of 3876. The greatest factor of 3876 is 3876.

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 3876 and 3884?

Answer:

Least Common Multiple of 3876 and 3884 = 3763596

Step 1: Find the prime factorization of 3876

3876 = 2 x 2 x 3 x 17 x 19

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 = 3763596 = 2 x 2 x 3 x 17 x 19 x 971

Step 4: Therefore, the least common multiple of 3876 and 3884 is 3763596.