Least Common Multiple of 3900 and 3906

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3900 and 3906 the smallest integer that is 2538900 that is divisible by both numbers.

Least Common Multiple (LCM) of 3900 and 3906 is 2538900.

LCM(3900,3906) = 2538900

LCM of 3900 and 3906

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

LCM of:
and

Least Common Multiple of 3900 and 3906

LCM of 3900 and 3906 is 2538900

Least common multiple can be found by multiplying the highest exponent prime factors of 3900 and 3906. First we will calculate the prime factors of 3900 and 3906.

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

Prime Factorization of 3906


2 3906
3 1953
3 651
7 217
31 31
1

Prime factors of 3906 are 2, 3, 7,31. Prime factorization of 3906 in exponential form is:

3906 = 21×32×71×311

Now multiplying the highest exponent prime factors to calculate the LCM of 3900 and 3906.

LCM(3900,3906) = 22×32×52×71×131×311
LCM(3900,3906) = 2538900

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

Factors of 3906

List of positive integer factors of 3906 that divides 3906 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 31, 42, 62, 63, 93, 126, 186, 217, 279, 434, 558, 651, 1302, 1953, 3906

Least Common Multiple of 3900 and 3906 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3900 and 3906, than apply into the LCM equation.

GCF(3900,3906) = 6
LCM(3900,3906) = ( 3900 × 3906) / 6
LCM(3900,3906) = 15233400 / 6
LCM(3900,3906) = 2538900

Properties of LCM 3900 and 3906

(i) The LCM of 3906 and 3900 is associative

LCM of 3900 and 3906 = LCM of 3906 and 3900

Related Least Common Multiples of 3900

Related Least Common Multiples of 3906

Frequently Asked Questions on LCM of 3900 and 3906

1. What is the LCM of 3900 and 3906?

Answer: LCM of 3900 and 3906 is 2538900.

2. 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.

3. What are the Factors of 3906?

Answer: Factors of 3906 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 31, 42, 62, 63, 93, 126, 186, 217, 279, 434, 558, 651, 1302, 1953, 3906. There are 24 integers that are factors of 3906. The greatest factor of 3906 is 3906.

4. How to Find the LCM of 3900 and 3906?

Answer:

Least Common Multiple of 3900 and 3906 = 2538900

Step 1: Find the prime factorization of 3900

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

Step 2: Find the prime factorization of 3906

3906 = 2 x 3 x 3 x 7 x 31

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

LCM = 2538900 = 2 x 2 x 3 x 3 x 5 x 5 x 7 x 13 x 31

Step 4: Therefore, the least common multiple of 3900 and 3906 is 2538900.