Least Common Multiple of 3884 and 3888

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3884 and 3888 the smallest integer that is 3775248 that is divisible by both numbers.

Least Common Multiple (LCM) of 3884 and 3888 is 3775248.

LCM(3884,3888) = 3775248

LCM of 3884 and 3888

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

LCM of:
and

Least Common Multiple of 3884 and 3888

LCM of 3884 and 3888 is 3775248

Least common multiple can be found by multiplying the highest exponent prime factors of 3884 and 3888. First we will calculate the prime factors of 3884 and 3888.

Prime Factorization of 3884


2 3884
2 1942
971 971
1

Prime factors of 3884 are 2,971. Prime factorization of 3884 in exponential form is:

3884 = 22×9711

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

Now multiplying the highest exponent prime factors to calculate the LCM of 3884 and 3888.

LCM(3884,3888) = 24×35×9711
LCM(3884,3888) = 3775248

Factors of 3884

List of positive integer factors of 3884 that divides 3884 without a remainder.

1, 2, 4, 971, 1942, 3884

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

Least Common Multiple of 3884 and 3888 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3884 and 3888, than apply into the LCM equation.

GCF(3884,3888) = 4
LCM(3884,3888) = ( 3884 × 3888) / 4
LCM(3884,3888) = 15100992 / 4
LCM(3884,3888) = 3775248

Properties of LCM 3884 and 3888

(i) The LCM of 3888 and 3884 is associative

LCM of 3884 and 3888 = LCM of 3888 and 3884

Related Least Common Multiples of 3884

Related Least Common Multiples of 3888

Frequently Asked Questions on LCM of 3884 and 3888

1. What is the LCM of 3884 and 3888?

Answer: LCM of 3884 and 3888 is 3775248.

2. What are the Factors of 3884?

Answer: Factors of 3884 are 1, 2, 4, 971, 1942, 3884. There are 6 integers that are factors of 3884. The greatest factor of 3884 is 3884.

3. 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.

4. How to Find the LCM of 3884 and 3888?

Answer:

Least Common Multiple of 3884 and 3888 = 3775248

Step 1: Find the prime factorization of 3884

3884 = 2 x 2 x 971

Step 2: 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 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 3775248 = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 3 x 3 x 971

Step 4: Therefore, the least common multiple of 3884 and 3888 is 3775248.