Least Common Multiple of 3888 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 3888 and 3894 the smallest integer that is 2523312 that is divisible by both numbers.

Least Common Multiple (LCM) of 3888 and 3894 is 2523312.

LCM(3888,3894) = 2523312

LCM of 3888 and 3894

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

LCM of:
and

Least Common Multiple of 3888 and 3894

LCM of 3888 and 3894 is 2523312

Least common multiple can be found by multiplying the highest exponent prime factors of 3888 and 3894. First we will calculate the prime factors of 3888 and 3894.

Prime Factorization of 3888


2 3888
2 1944
2 972
2 486
3 243
3 81
3 27
3 9
3 3
1

Prime factors of 3888 are 2,3. Prime factorization of 3888 in exponential form is:

3888 = 24×35

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 3888 and 3894.

LCM(3888,3894) = 24×35×111×591
LCM(3888,3894) = 2523312

Factors of 3888

List of positive integer factors of 3888 that divides 3888 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 81, 108, 144, 162, 216, 243, 324, 432, 486, 648, 972, 1296, 1944, 3888

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 3888 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 3888 and 3894, than apply into the LCM equation.

GCF(3888,3894) = 6
LCM(3888,3894) = ( 3888 × 3894) / 6
LCM(3888,3894) = 15139872 / 6
LCM(3888,3894) = 2523312

Properties of LCM 3888 and 3894

(i) The LCM of 3894 and 3888 is associative

LCM of 3888 and 3894 = LCM of 3894 and 3888

Related Least Common Multiples of 3888

Related Least Common Multiples of 3894

Frequently Asked Questions on LCM of 3888 and 3894

1. What is the LCM of 3888 and 3894?

Answer: LCM of 3888 and 3894 is 2523312.

2. What are the Factors of 3888?

Answer: Factors of 3888 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 81, 108, 144, 162, 216, 243, 324, 432, 486, 648, 972, 1296, 1944, 3888. There are 30 integers that are factors of 3888. The greatest factor of 3888 is 3888.

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 3888 and 3894?

Answer:

Least Common Multiple of 3888 and 3894 = 2523312

Step 1: Find the prime factorization of 3888

3888 = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 3 x 3

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 = 2523312 = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 3 x 3 x 11 x 59

Step 4: Therefore, the least common multiple of 3888 and 3894 is 2523312.