Least Common Multiple of 6893 and 6900

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6893 and 6900 the smallest integer that is 47561700 that is divisible by both numbers.

Least Common Multiple (LCM) of 6893 and 6900 is 47561700.

LCM(6893,6900) = 47561700

LCM of 6893 and 6900

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

LCM of:
and

Least Common Multiple of 6893 and 6900

LCM of 6893 and 6900 is 47561700

Least common multiple can be found by multiplying the highest exponent prime factors of 6893 and 6900. First we will calculate the prime factors of 6893 and 6900.

Prime Factorization of 6893


61 6893
113 113
1

Prime factors of 6893 are 61,113. Prime factorization of 6893 in exponential form is:

6893 = 611×1131

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

Now multiplying the highest exponent prime factors to calculate the LCM of 6893 and 6900.

LCM(6893,6900) = 22×31×52×231×611×1131
LCM(6893,6900) = 47561700

Factors of 6893

List of positive integer factors of 6893 that divides 6893 without a remainder.

1, 61, 113, 6893

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

Least Common Multiple of 6893 and 6900 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6893 and 6900, than apply into the LCM equation.

GCF(6893,6900) = 1
LCM(6893,6900) = ( 6893 × 6900) / 1
LCM(6893,6900) = 47561700 / 1
LCM(6893,6900) = 47561700

Properties of LCM 6893 and 6900

(i) The LCM of 6900 and 6893 is associative

LCM of 6893 and 6900 = LCM of 6900 and 6893

Related Least Common Multiples of 6893

Related Least Common Multiples of 6900

Frequently Asked Questions on LCM of 6893 and 6900

1. What is the LCM of 6893 and 6900?

Answer: LCM of 6893 and 6900 is 47561700.

2. What are the Factors of 6893?

Answer: Factors of 6893 are 1, 61, 113, 6893. There are 4 integers that are factors of 6893. The greatest factor of 6893 is 6893.

3. 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.

4. How to Find the LCM of 6893 and 6900?

Answer:

Least Common Multiple of 6893 and 6900 = 47561700

Step 1: Find the prime factorization of 6893

6893 = 61 x 113

Step 2: Find the prime factorization of 6900

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

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

LCM = 47561700 = 2 x 2 x 3 x 5 x 5 x 23 x 61 x 113

Step 4: Therefore, the least common multiple of 6893 and 6900 is 47561700.