Least Common Multiple of 3886 and 3890

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3886 and 3890 the smallest integer that is 7558270 that is divisible by both numbers.

Least Common Multiple (LCM) of 3886 and 3890 is 7558270.

LCM(3886,3890) = 7558270

LCM of 3886 and 3890

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

LCM of:
and

Least Common Multiple of 3886 and 3890

LCM of 3886 and 3890 is 7558270

Least common multiple can be found by multiplying the highest exponent prime factors of 3886 and 3890. First we will calculate the prime factors of 3886 and 3890.

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

Prime Factorization of 3890


2 3890
5 1945
389 389
1

Prime factors of 3890 are 2, 5,389. Prime factorization of 3890 in exponential form is:

3890 = 21×51×3891

Now multiplying the highest exponent prime factors to calculate the LCM of 3886 and 3890.

LCM(3886,3890) = 21×51×291×671×3891
LCM(3886,3890) = 7558270

Factors of 3886

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

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

Factors of 3890

List of positive integer factors of 3890 that divides 3890 without a remainder.

1, 2, 5, 10, 389, 778, 1945, 3890

Least Common Multiple of 3886 and 3890 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3886 and 3890, than apply into the LCM equation.

GCF(3886,3890) = 2
LCM(3886,3890) = ( 3886 × 3890) / 2
LCM(3886,3890) = 15116540 / 2
LCM(3886,3890) = 7558270

Properties of LCM 3886 and 3890

(i) The LCM of 3890 and 3886 is associative

LCM of 3886 and 3890 = LCM of 3890 and 3886

Related Least Common Multiples of 3886

Related Least Common Multiples of 3890

Frequently Asked Questions on LCM of 3886 and 3890

1. What is the LCM of 3886 and 3890?

Answer: LCM of 3886 and 3890 is 7558270.

2. 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.

3. What are the Factors of 3890?

Answer: Factors of 3890 are 1, 2, 5, 10, 389, 778, 1945, 3890. There are 8 integers that are factors of 3890. The greatest factor of 3890 is 3890.

4. How to Find the LCM of 3886 and 3890?

Answer:

Least Common Multiple of 3886 and 3890 = 7558270

Step 1: Find the prime factorization of 3886

3886 = 2 x 29 x 67

Step 2: Find the prime factorization of 3890

3890 = 2 x 5 x 389

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

LCM = 7558270 = 2 x 5 x 29 x 67 x 389

Step 4: Therefore, the least common multiple of 3886 and 3890 is 7558270.