Least Common Multiple of 3884 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 3884 and 3892 the smallest integer that is 3779132 that is divisible by both numbers.

Least Common Multiple (LCM) of 3884 and 3892 is 3779132.

LCM(3884,3892) = 3779132

LCM of 3884 and 3892

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

LCM of:
and

Least Common Multiple of 3884 and 3892

LCM of 3884 and 3892 is 3779132

Least common multiple can be found by multiplying the highest exponent prime factors of 3884 and 3892. First we will calculate the prime factors of 3884 and 3892.

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 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 3884 and 3892.

LCM(3884,3892) = 22×71×1391×9711
LCM(3884,3892) = 3779132

Factors of 3884

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

1, 2, 4, 971, 1942, 3884

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 3884 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 3884 and 3892, than apply into the LCM equation.

GCF(3884,3892) = 4
LCM(3884,3892) = ( 3884 × 3892) / 4
LCM(3884,3892) = 15116528 / 4
LCM(3884,3892) = 3779132

Properties of LCM 3884 and 3892

(i) The LCM of 3892 and 3884 is associative

LCM of 3884 and 3892 = LCM of 3892 and 3884

Related Least Common Multiples of 3884

Related Least Common Multiples of 3892

Frequently Asked Questions on LCM of 3884 and 3892

1. What is the LCM of 3884 and 3892?

Answer: LCM of 3884 and 3892 is 3779132.

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 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 3884 and 3892?

Answer:

Least Common Multiple of 3884 and 3892 = 3779132

Step 1: Find the prime factorization of 3884

3884 = 2 x 2 x 971

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 = 3779132 = 2 x 2 x 7 x 139 x 971

Step 4: Therefore, the least common multiple of 3884 and 3892 is 3779132.