Least Common Multiple of 3888 and 3893

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 3893 the smallest integer that is 15135984 that is divisible by both numbers.

Least Common Multiple (LCM) of 3888 and 3893 is 15135984.

LCM(3888,3893) = 15135984

LCM of 3888 and 3893

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

LCM of:
and

Least Common Multiple of 3888 and 3893

LCM of 3888 and 3893 is 15135984

Least common multiple can be found by multiplying the highest exponent prime factors of 3888 and 3893. First we will calculate the prime factors of 3888 and 3893.

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 3893


17 3893
229 229
1

Prime factors of 3893 are 17,229. Prime factorization of 3893 in exponential form is:

3893 = 171×2291

Now multiplying the highest exponent prime factors to calculate the LCM of 3888 and 3893.

LCM(3888,3893) = 24×35×171×2291
LCM(3888,3893) = 15135984

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 3893

List of positive integer factors of 3893 that divides 3893 without a remainder.

1, 17, 229, 3893

Least Common Multiple of 3888 and 3893 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 3893, than apply into the LCM equation.

GCF(3888,3893) = 1
LCM(3888,3893) = ( 3888 × 3893) / 1
LCM(3888,3893) = 15135984 / 1
LCM(3888,3893) = 15135984

Properties of LCM 3888 and 3893

(i) The LCM of 3893 and 3888 is associative

LCM of 3888 and 3893 = LCM of 3893 and 3888

Related Least Common Multiples of 3888

Related Least Common Multiples of 3893

Frequently Asked Questions on LCM of 3888 and 3893

1. What is the LCM of 3888 and 3893?

Answer: LCM of 3888 and 3893 is 15135984.

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 3893?

Answer: Factors of 3893 are 1, 17, 229, 3893. There are 4 integers that are factors of 3893. The greatest factor of 3893 is 3893.

4. How to Find the LCM of 3888 and 3893?

Answer:

Least Common Multiple of 3888 and 3893 = 15135984

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 3893

3893 = 17 x 229

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

LCM = 15135984 = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 3 x 3 x 17 x 229

Step 4: Therefore, the least common multiple of 3888 and 3893 is 15135984.