Least Common Multiple of 6900 and 6903

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6900 and 6903 the smallest integer that is 15876900 that is divisible by both numbers.

Least Common Multiple (LCM) of 6900 and 6903 is 15876900.

LCM(6900,6903) = 15876900

LCM of 6900 and 6903

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

LCM of:
and

Least Common Multiple of 6900 and 6903

LCM of 6900 and 6903 is 15876900

Least common multiple can be found by multiplying the highest exponent prime factors of 6900 and 6903. First we will calculate the prime factors of 6900 and 6903.

Prime Factorization of 6900


2 6900
2 3450
3 1725
5 575
5 115
23 23
1

Prime factors of 6900 are 2, 3, 5,23. Prime factorization of 6900 in exponential form is:

6900 = 22×31×52×231

Prime Factorization of 6903


3 6903
3 2301
13 767
59 59
1

Prime factors of 6903 are 3, 13,59. Prime factorization of 6903 in exponential form is:

6903 = 32×131×591

Now multiplying the highest exponent prime factors to calculate the LCM of 6900 and 6903.

LCM(6900,6903) = 22×32×52×131×231×591
LCM(6900,6903) = 15876900

Factors of 6900

List of positive integer factors of 6900 that divides 6900 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 23, 25, 30, 46, 50, 60, 69, 75, 92, 100, 115, 138, 150, 230, 276, 300, 345, 460, 575, 690, 1150, 1380, 1725, 2300, 3450, 6900

Factors of 6903

List of positive integer factors of 6903 that divides 6903 without a remainder.

1, 3, 9, 13, 39, 59, 117, 177, 531, 767, 2301, 6903

Least Common Multiple of 6900 and 6903 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6900 and 6903, than apply into the LCM equation.

GCF(6900,6903) = 3
LCM(6900,6903) = ( 6900 × 6903) / 3
LCM(6900,6903) = 47630700 / 3
LCM(6900,6903) = 15876900

Properties of LCM 6900 and 6903

(i) The LCM of 6903 and 6900 is associative

LCM of 6900 and 6903 = LCM of 6903 and 6900

Related Least Common Multiples of 6900

Related Least Common Multiples of 6903

Frequently Asked Questions on LCM of 6900 and 6903

1. What is the LCM of 6900 and 6903?

Answer: LCM of 6900 and 6903 is 15876900.

2. What are the Factors of 6900?

Answer: Factors of 6900 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 23, 25, 30, 46, 50, 60, 69, 75, 92, 100, 115, 138, 150, 230, 276, 300, 345, 460, 575, 690, 1150, 1380, 1725, 2300, 3450, 6900. There are 36 integers that are factors of 6900. The greatest factor of 6900 is 6900.

3. What are the Factors of 6903?

Answer: Factors of 6903 are 1, 3, 9, 13, 39, 59, 117, 177, 531, 767, 2301, 6903. There are 12 integers that are factors of 6903. The greatest factor of 6903 is 6903.

4. How to Find the LCM of 6900 and 6903?

Answer:

Least Common Multiple of 6900 and 6903 = 15876900

Step 1: Find the prime factorization of 6900

6900 = 2 x 2 x 3 x 5 x 5 x 23

Step 2: Find the prime factorization of 6903

6903 = 3 x 3 x 13 x 59

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

LCM = 15876900 = 2 x 2 x 3 x 3 x 5 x 5 x 13 x 23 x 59

Step 4: Therefore, the least common multiple of 6900 and 6903 is 15876900.