Least Common Multiple of 3892 and 3900

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 3900 the smallest integer that is 3794700 that is divisible by both numbers.

Least Common Multiple (LCM) of 3892 and 3900 is 3794700.

LCM(3892,3900) = 3794700

LCM of 3892 and 3900

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

LCM of:
and

Least Common Multiple of 3892 and 3900

LCM of 3892 and 3900 is 3794700

Least common multiple can be found by multiplying the highest exponent prime factors of 3892 and 3900. First we will calculate the prime factors of 3892 and 3900.

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 3900


2 3900
2 1950
3 975
5 325
5 65
13 13
1

Prime factors of 3900 are 2, 3, 5,13. Prime factorization of 3900 in exponential form is:

3900 = 22×31×52×131

Now multiplying the highest exponent prime factors to calculate the LCM of 3892 and 3900.

LCM(3892,3900) = 22×31×52×71×131×1391
LCM(3892,3900) = 3794700

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 3900

List of positive integer factors of 3900 that divides 3900 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 25, 26, 30, 39, 50, 52, 60, 65, 75, 78, 100, 130, 150, 156, 195, 260, 300, 325, 390, 650, 780, 975, 1300, 1950, 3900

Least Common Multiple of 3892 and 3900 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 3900, than apply into the LCM equation.

GCF(3892,3900) = 4
LCM(3892,3900) = ( 3892 × 3900) / 4
LCM(3892,3900) = 15178800 / 4
LCM(3892,3900) = 3794700

Properties of LCM 3892 and 3900

(i) The LCM of 3900 and 3892 is associative

LCM of 3892 and 3900 = LCM of 3900 and 3892

Related Least Common Multiples of 3892

Related Least Common Multiples of 3900

Frequently Asked Questions on LCM of 3892 and 3900

1. What is the LCM of 3892 and 3900?

Answer: LCM of 3892 and 3900 is 3794700.

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 3900?

Answer: Factors of 3900 are 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 25, 26, 30, 39, 50, 52, 60, 65, 75, 78, 100, 130, 150, 156, 195, 260, 300, 325, 390, 650, 780, 975, 1300, 1950, 3900. There are 36 integers that are factors of 3900. The greatest factor of 3900 is 3900.

4. How to Find the LCM of 3892 and 3900?

Answer:

Least Common Multiple of 3892 and 3900 = 3794700

Step 1: Find the prime factorization of 3892

3892 = 2 x 2 x 7 x 139

Step 2: Find the prime factorization of 3900

3900 = 2 x 2 x 3 x 5 x 5 x 13

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

LCM = 3794700 = 2 x 2 x 3 x 5 x 5 x 7 x 13 x 139

Step 4: Therefore, the least common multiple of 3892 and 3900 is 3794700.