Least Common Multiple of 3882 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 3882 and 3890 the smallest integer that is 7550490 that is divisible by both numbers.

Least Common Multiple (LCM) of 3882 and 3890 is 7550490.

LCM(3882,3890) = 7550490

LCM of 3882 and 3890

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

LCM of:
and

Least Common Multiple of 3882 and 3890

LCM of 3882 and 3890 is 7550490

Least common multiple can be found by multiplying the highest exponent prime factors of 3882 and 3890. First we will calculate the prime factors of 3882 and 3890.

Prime Factorization of 3882


2 3882
3 1941
647 647
1

Prime factors of 3882 are 2, 3,647. Prime factorization of 3882 in exponential form is:

3882 = 21×31×6471

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 3882 and 3890.

LCM(3882,3890) = 21×31×51×3891×6471
LCM(3882,3890) = 7550490

Factors of 3882

List of positive integer factors of 3882 that divides 3882 without a remainder.

1, 2, 3, 6, 647, 1294, 1941, 3882

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 3882 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 3882 and 3890, than apply into the LCM equation.

GCF(3882,3890) = 2
LCM(3882,3890) = ( 3882 × 3890) / 2
LCM(3882,3890) = 15100980 / 2
LCM(3882,3890) = 7550490

Properties of LCM 3882 and 3890

(i) The LCM of 3890 and 3882 is associative

LCM of 3882 and 3890 = LCM of 3890 and 3882

Related Least Common Multiples of 3882

Related Least Common Multiples of 3890

Frequently Asked Questions on LCM of 3882 and 3890

1. What is the LCM of 3882 and 3890?

Answer: LCM of 3882 and 3890 is 7550490.

2. What are the Factors of 3882?

Answer: Factors of 3882 are 1, 2, 3, 6, 647, 1294, 1941, 3882. There are 8 integers that are factors of 3882. The greatest factor of 3882 is 3882.

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 3882 and 3890?

Answer:

Least Common Multiple of 3882 and 3890 = 7550490

Step 1: Find the prime factorization of 3882

3882 = 2 x 3 x 647

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 = 7550490 = 2 x 3 x 5 x 389 x 647

Step 4: Therefore, the least common multiple of 3882 and 3890 is 7550490.