Least Common Multiple of 3892 and 3896

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3892 and 3896 the smallest integer that is 3790808 that is divisible by both numbers.

Least Common Multiple (LCM) of 3892 and 3896 is 3790808.

LCM(3892,3896) = 3790808

LCM of 3892 and 3896

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

LCM of:
and

Least Common Multiple of 3892 and 3896

LCM of 3892 and 3896 is 3790808

Least common multiple can be found by multiplying the highest exponent prime factors of 3892 and 3896. First we will calculate the prime factors of 3892 and 3896.

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

Prime Factorization of 3896


2 3896
2 1948
2 974
487 487
1

Prime factors of 3896 are 2,487. Prime factorization of 3896 in exponential form is:

3896 = 23×4871

Now multiplying the highest exponent prime factors to calculate the LCM of 3892 and 3896.

LCM(3892,3896) = 23×71×1391×4871
LCM(3892,3896) = 3790808

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

Factors of 3896

List of positive integer factors of 3896 that divides 3896 without a remainder.

1, 2, 4, 8, 487, 974, 1948, 3896

Least Common Multiple of 3892 and 3896 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3892 and 3896, than apply into the LCM equation.

GCF(3892,3896) = 4
LCM(3892,3896) = ( 3892 × 3896) / 4
LCM(3892,3896) = 15163232 / 4
LCM(3892,3896) = 3790808

Properties of LCM 3892 and 3896

(i) The LCM of 3896 and 3892 is associative

LCM of 3892 and 3896 = LCM of 3896 and 3892

Related Least Common Multiples of 3892

Related Least Common Multiples of 3896

Frequently Asked Questions on LCM of 3892 and 3896

1. What is the LCM of 3892 and 3896?

Answer: LCM of 3892 and 3896 is 3790808.

2. 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.

3. What are the Factors of 3896?

Answer: Factors of 3896 are 1, 2, 4, 8, 487, 974, 1948, 3896. There are 8 integers that are factors of 3896. The greatest factor of 3896 is 3896.

4. How to Find the LCM of 3892 and 3896?

Answer:

Least Common Multiple of 3892 and 3896 = 3790808

Step 1: Find the prime factorization of 3892

3892 = 2 x 2 x 7 x 139

Step 2: Find the prime factorization of 3896

3896 = 2 x 2 x 2 x 487

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

LCM = 3790808 = 2 x 2 x 2 x 7 x 139 x 487

Step 4: Therefore, the least common multiple of 3892 and 3896 is 3790808.