Least Common Multiple of 3890 and 3894

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3890 and 3894 the smallest integer that is 7573830 that is divisible by both numbers.

Least Common Multiple (LCM) of 3890 and 3894 is 7573830.

LCM(3890,3894) = 7573830

LCM of 3890 and 3894

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

LCM of:
and

Least Common Multiple of 3890 and 3894

LCM of 3890 and 3894 is 7573830

Least common multiple can be found by multiplying the highest exponent prime factors of 3890 and 3894. First we will calculate the prime factors of 3890 and 3894.

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

Prime Factorization of 3894


2 3894
3 1947
11 649
59 59
1

Prime factors of 3894 are 2, 3, 11,59. Prime factorization of 3894 in exponential form is:

3894 = 21×31×111×591

Now multiplying the highest exponent prime factors to calculate the LCM of 3890 and 3894.

LCM(3890,3894) = 21×31×51×111×591×3891
LCM(3890,3894) = 7573830

Factors of 3890

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

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

Factors of 3894

List of positive integer factors of 3894 that divides 3894 without a remainder.

1, 2, 3, 6, 11, 22, 33, 59, 66, 118, 177, 354, 649, 1298, 1947, 3894

Least Common Multiple of 3890 and 3894 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3890 and 3894, than apply into the LCM equation.

GCF(3890,3894) = 2
LCM(3890,3894) = ( 3890 × 3894) / 2
LCM(3890,3894) = 15147660 / 2
LCM(3890,3894) = 7573830

Properties of LCM 3890 and 3894

(i) The LCM of 3894 and 3890 is associative

LCM of 3890 and 3894 = LCM of 3894 and 3890

Related Least Common Multiples of 3890

Related Least Common Multiples of 3894

Frequently Asked Questions on LCM of 3890 and 3894

1. What is the LCM of 3890 and 3894?

Answer: LCM of 3890 and 3894 is 7573830.

2. 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.

3. What are the Factors of 3894?

Answer: Factors of 3894 are 1, 2, 3, 6, 11, 22, 33, 59, 66, 118, 177, 354, 649, 1298, 1947, 3894. There are 16 integers that are factors of 3894. The greatest factor of 3894 is 3894.

4. How to Find the LCM of 3890 and 3894?

Answer:

Least Common Multiple of 3890 and 3894 = 7573830

Step 1: Find the prime factorization of 3890

3890 = 2 x 5 x 389

Step 2: Find the prime factorization of 3894

3894 = 2 x 3 x 11 x 59

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

LCM = 7573830 = 2 x 3 x 5 x 11 x 59 x 389

Step 4: Therefore, the least common multiple of 3890 and 3894 is 7573830.