Least Common Multiple of 6813 and 6818

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6813 and 6818 the smallest integer that is 46451034 that is divisible by both numbers.

Least Common Multiple (LCM) of 6813 and 6818 is 46451034.

LCM(6813,6818) = 46451034

LCM of 6813 and 6818

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

LCM of:
and

Least Common Multiple of 6813 and 6818

LCM of 6813 and 6818 is 46451034

Least common multiple can be found by multiplying the highest exponent prime factors of 6813 and 6818. First we will calculate the prime factors of 6813 and 6818.

Prime Factorization of 6813


3 6813
3 2271
757 757
1

Prime factors of 6813 are 3,757. Prime factorization of 6813 in exponential form is:

6813 = 32×7571

Prime Factorization of 6818


2 6818
7 3409
487 487
1

Prime factors of 6818 are 2, 7,487. Prime factorization of 6818 in exponential form is:

6818 = 21×71×4871

Now multiplying the highest exponent prime factors to calculate the LCM of 6813 and 6818.

LCM(6813,6818) = 21×32×71×4871×7571
LCM(6813,6818) = 46451034

Factors of 6813

List of positive integer factors of 6813 that divides 6813 without a remainder.

1, 3, 9, 757, 2271, 6813

Factors of 6818

List of positive integer factors of 6818 that divides 6818 without a remainder.

1, 2, 7, 14, 487, 974, 3409, 6818

Least Common Multiple of 6813 and 6818 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6813 and 6818, than apply into the LCM equation.

GCF(6813,6818) = 1
LCM(6813,6818) = ( 6813 × 6818) / 1
LCM(6813,6818) = 46451034 / 1
LCM(6813,6818) = 46451034

Properties of LCM 6813 and 6818

(i) The LCM of 6818 and 6813 is associative

LCM of 6813 and 6818 = LCM of 6818 and 6813

Related Least Common Multiples of 6813

Related Least Common Multiples of 6818

Frequently Asked Questions on LCM of 6813 and 6818

1. What is the LCM of 6813 and 6818?

Answer: LCM of 6813 and 6818 is 46451034.

2. What are the Factors of 6813?

Answer: Factors of 6813 are 1, 3, 9, 757, 2271, 6813. There are 6 integers that are factors of 6813. The greatest factor of 6813 is 6813.

3. What are the Factors of 6818?

Answer: Factors of 6818 are 1, 2, 7, 14, 487, 974, 3409, 6818. There are 8 integers that are factors of 6818. The greatest factor of 6818 is 6818.

4. How to Find the LCM of 6813 and 6818?

Answer:

Least Common Multiple of 6813 and 6818 = 46451034

Step 1: Find the prime factorization of 6813

6813 = 3 x 3 x 757

Step 2: Find the prime factorization of 6818

6818 = 2 x 7 x 487

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

LCM = 46451034 = 2 x 3 x 3 x 7 x 487 x 757

Step 4: Therefore, the least common multiple of 6813 and 6818 is 46451034.