Least Common Multiple of 3888 and 3892

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 3892 the smallest integer that is 3783024 that is divisible by both numbers.

Least Common Multiple (LCM) of 3888 and 3892 is 3783024.

LCM(3888,3892) = 3783024

LCM of 3888 and 3892

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

LCM of:
and

Least Common Multiple of 3888 and 3892

LCM of 3888 and 3892 is 3783024

Least common multiple can be found by multiplying the highest exponent prime factors of 3888 and 3892. First we will calculate the prime factors of 3888 and 3892.

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 3892


2 3892
2 1946
7 973
139 139
1

Prime factors of 3892 are 2, 7,139. Prime factorization of 3892 in exponential form is:

3892 = 22×71×1391

Now multiplying the highest exponent prime factors to calculate the LCM of 3888 and 3892.

LCM(3888,3892) = 24×35×71×1391
LCM(3888,3892) = 3783024

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 3892

List of positive integer factors of 3892 that divides 3892 without a remainder.

1, 2, 4, 7, 14, 28, 139, 278, 556, 973, 1946, 3892

Least Common Multiple of 3888 and 3892 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 3892, than apply into the LCM equation.

GCF(3888,3892) = 4
LCM(3888,3892) = ( 3888 × 3892) / 4
LCM(3888,3892) = 15132096 / 4
LCM(3888,3892) = 3783024

Properties of LCM 3888 and 3892

(i) The LCM of 3892 and 3888 is associative

LCM of 3888 and 3892 = LCM of 3892 and 3888

Related Least Common Multiples of 3888

Related Least Common Multiples of 3892

Frequently Asked Questions on LCM of 3888 and 3892

1. What is the LCM of 3888 and 3892?

Answer: LCM of 3888 and 3892 is 3783024.

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 3892?

Answer: Factors of 3892 are 1, 2, 4, 7, 14, 28, 139, 278, 556, 973, 1946, 3892. There are 12 integers that are factors of 3892. The greatest factor of 3892 is 3892.

4. How to Find the LCM of 3888 and 3892?

Answer:

Least Common Multiple of 3888 and 3892 = 3783024

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 3892

3892 = 2 x 2 x 7 x 139

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

LCM = 3783024 = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 3 x 3 x 7 x 139

Step 4: Therefore, the least common multiple of 3888 and 3892 is 3783024.