Least Common Multiple of 6900 and 6905

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 6905 the smallest integer that is 9528900 that is divisible by both numbers.

Least Common Multiple (LCM) of 6900 and 6905 is 9528900.

LCM(6900,6905) = 9528900

LCM of 6900 and 6905

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

LCM of:
and

Least Common Multiple of 6900 and 6905

LCM of 6900 and 6905 is 9528900

Least common multiple can be found by multiplying the highest exponent prime factors of 6900 and 6905. First we will calculate the prime factors of 6900 and 6905.

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 6905


5 6905
1381 1381
1

Prime factors of 6905 are 5,1381. Prime factorization of 6905 in exponential form is:

6905 = 51×13811

Now multiplying the highest exponent prime factors to calculate the LCM of 6900 and 6905.

LCM(6900,6905) = 22×31×52×231×13811
LCM(6900,6905) = 9528900

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 6905

List of positive integer factors of 6905 that divides 6905 without a remainder.

1, 5, 1381, 6905

Least Common Multiple of 6900 and 6905 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 6905, than apply into the LCM equation.

GCF(6900,6905) = 5
LCM(6900,6905) = ( 6900 × 6905) / 5
LCM(6900,6905) = 47644500 / 5
LCM(6900,6905) = 9528900

Properties of LCM 6900 and 6905

(i) The LCM of 6905 and 6900 is associative

LCM of 6900 and 6905 = LCM of 6905 and 6900

Related Least Common Multiples of 6900

Related Least Common Multiples of 6905

Frequently Asked Questions on LCM of 6900 and 6905

1. What is the LCM of 6900 and 6905?

Answer: LCM of 6900 and 6905 is 9528900.

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 6905?

Answer: Factors of 6905 are 1, 5, 1381, 6905. There are 4 integers that are factors of 6905. The greatest factor of 6905 is 6905.

4. How to Find the LCM of 6900 and 6905?

Answer:

Least Common Multiple of 6900 and 6905 = 9528900

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 6905

6905 = 5 x 1381

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

LCM = 9528900 = 2 x 2 x 3 x 5 x 5 x 23 x 1381

Step 4: Therefore, the least common multiple of 6900 and 6905 is 9528900.