Least Common Multiple of 3880 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 3880 and 3886 the smallest integer that is 7538840 that is divisible by both numbers.

Least Common Multiple (LCM) of 3880 and 3886 is 7538840.

LCM(3880,3886) = 7538840

LCM of 3880 and 3886

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

LCM of:
and

Least Common Multiple of 3880 and 3886

LCM of 3880 and 3886 is 7538840

Least common multiple can be found by multiplying the highest exponent prime factors of 3880 and 3886. First we will calculate the prime factors of 3880 and 3886.

Prime Factorization of 3880


2 3880
2 1940
2 970
5 485
97 97
1

Prime factors of 3880 are 2, 5,97. Prime factorization of 3880 in exponential form is:

3880 = 23×51×971

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 3880 and 3886.

LCM(3880,3886) = 23×51×291×671×971
LCM(3880,3886) = 7538840

Factors of 3880

List of positive integer factors of 3880 that divides 3880 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 97, 194, 388, 485, 776, 970, 1940, 3880

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 3880 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 3880 and 3886, than apply into the LCM equation.

GCF(3880,3886) = 2
LCM(3880,3886) = ( 3880 × 3886) / 2
LCM(3880,3886) = 15077680 / 2
LCM(3880,3886) = 7538840

Properties of LCM 3880 and 3886

(i) The LCM of 3886 and 3880 is associative

LCM of 3880 and 3886 = LCM of 3886 and 3880

Related Least Common Multiples of 3880

Related Least Common Multiples of 3886

Frequently Asked Questions on LCM of 3880 and 3886

1. What is the LCM of 3880 and 3886?

Answer: LCM of 3880 and 3886 is 7538840.

2. What are the Factors of 3880?

Answer: Factors of 3880 are 1, 2, 4, 5, 8, 10, 20, 40, 97, 194, 388, 485, 776, 970, 1940, 3880. There are 16 integers that are factors of 3880. The greatest factor of 3880 is 3880.

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 3880 and 3886?

Answer:

Least Common Multiple of 3880 and 3886 = 7538840

Step 1: Find the prime factorization of 3880

3880 = 2 x 2 x 2 x 5 x 97

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 = 7538840 = 2 x 2 x 2 x 5 x 29 x 67 x 97

Step 4: Therefore, the least common multiple of 3880 and 3886 is 7538840.