Least Common Multiple of 6900 and 6908

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 6908 the smallest integer that is 11916300 that is divisible by both numbers.

Least Common Multiple (LCM) of 6900 and 6908 is 11916300.

LCM(6900,6908) = 11916300

LCM of 6900 and 6908

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

LCM of:
and

Least Common Multiple of 6900 and 6908

LCM of 6900 and 6908 is 11916300

Least common multiple can be found by multiplying the highest exponent prime factors of 6900 and 6908. First we will calculate the prime factors of 6900 and 6908.

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 6908


2 6908
2 3454
11 1727
157 157
1

Prime factors of 6908 are 2, 11,157. Prime factorization of 6908 in exponential form is:

6908 = 22×111×1571

Now multiplying the highest exponent prime factors to calculate the LCM of 6900 and 6908.

LCM(6900,6908) = 22×31×52×111×231×1571
LCM(6900,6908) = 11916300

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 6908

List of positive integer factors of 6908 that divides 6908 without a remainder.

1, 2, 4, 11, 22, 44, 157, 314, 628, 1727, 3454, 6908

Least Common Multiple of 6900 and 6908 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 6908, than apply into the LCM equation.

GCF(6900,6908) = 4
LCM(6900,6908) = ( 6900 × 6908) / 4
LCM(6900,6908) = 47665200 / 4
LCM(6900,6908) = 11916300

Properties of LCM 6900 and 6908

(i) The LCM of 6908 and 6900 is associative

LCM of 6900 and 6908 = LCM of 6908 and 6900

Related Least Common Multiples of 6900

Related Least Common Multiples of 6908

Frequently Asked Questions on LCM of 6900 and 6908

1. What is the LCM of 6900 and 6908?

Answer: LCM of 6900 and 6908 is 11916300.

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 6908?

Answer: Factors of 6908 are 1, 2, 4, 11, 22, 44, 157, 314, 628, 1727, 3454, 6908. There are 12 integers that are factors of 6908. The greatest factor of 6908 is 6908.

4. How to Find the LCM of 6900 and 6908?

Answer:

Least Common Multiple of 6900 and 6908 = 11916300

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 6908

6908 = 2 x 2 x 11 x 157

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

LCM = 11916300 = 2 x 2 x 3 x 5 x 5 x 11 x 23 x 157

Step 4: Therefore, the least common multiple of 6900 and 6908 is 11916300.