Least Common Multiple of 3878 and 3886

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3878 and 3886 the smallest integer that is 7534954 that is divisible by both numbers.

Least Common Multiple (LCM) of 3878 and 3886 is 7534954.

LCM(3878,3886) = 7534954

LCM of 3878 and 3886

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

LCM of:
and

Least Common Multiple of 3878 and 3886

LCM of 3878 and 3886 is 7534954

Least common multiple can be found by multiplying the highest exponent prime factors of 3878 and 3886. First we will calculate the prime factors of 3878 and 3886.

Prime Factorization of 3878


2 3878
7 1939
277 277
1

Prime factors of 3878 are 2, 7,277. Prime factorization of 3878 in exponential form is:

3878 = 21×71×2771

Prime Factorization of 3886


2 3886
29 1943
67 67
1

Prime factors of 3886 are 2, 29,67. Prime factorization of 3886 in exponential form is:

3886 = 21×291×671

Now multiplying the highest exponent prime factors to calculate the LCM of 3878 and 3886.

LCM(3878,3886) = 21×71×291×671×2771
LCM(3878,3886) = 7534954

Factors of 3878

List of positive integer factors of 3878 that divides 3878 without a remainder.

1, 2, 7, 14, 277, 554, 1939, 3878

Factors of 3886

List of positive integer factors of 3886 that divides 3886 without a remainder.

1, 2, 29, 58, 67, 134, 1943, 3886

Least Common Multiple of 3878 and 3886 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3878 and 3886, than apply into the LCM equation.

GCF(3878,3886) = 2
LCM(3878,3886) = ( 3878 × 3886) / 2
LCM(3878,3886) = 15069908 / 2
LCM(3878,3886) = 7534954

Properties of LCM 3878 and 3886

(i) The LCM of 3886 and 3878 is associative

LCM of 3878 and 3886 = LCM of 3886 and 3878

Related Least Common Multiples of 3878

Related Least Common Multiples of 3886

Frequently Asked Questions on LCM of 3878 and 3886

1. What is the LCM of 3878 and 3886?

Answer: LCM of 3878 and 3886 is 7534954.

2. What are the Factors of 3878?

Answer: Factors of 3878 are 1, 2, 7, 14, 277, 554, 1939, 3878. There are 8 integers that are factors of 3878. The greatest factor of 3878 is 3878.

3. What are the Factors of 3886?

Answer: Factors of 3886 are 1, 2, 29, 58, 67, 134, 1943, 3886. There are 8 integers that are factors of 3886. The greatest factor of 3886 is 3886.

4. How to Find the LCM of 3878 and 3886?

Answer:

Least Common Multiple of 3878 and 3886 = 7534954

Step 1: Find the prime factorization of 3878

3878 = 2 x 7 x 277

Step 2: Find the prime factorization of 3886

3886 = 2 x 29 x 67

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

LCM = 7534954 = 2 x 7 x 29 x 67 x 277

Step 4: Therefore, the least common multiple of 3878 and 3886 is 7534954.