Least Common Multiple of 6816 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 6816 and 6818 the smallest integer that is 23235744 that is divisible by both numbers.

Least Common Multiple (LCM) of 6816 and 6818 is 23235744.

LCM(6816,6818) = 23235744

LCM of 6816 and 6818

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

LCM of:
and

Least Common Multiple of 6816 and 6818

LCM of 6816 and 6818 is 23235744

Least common multiple can be found by multiplying the highest exponent prime factors of 6816 and 6818. First we will calculate the prime factors of 6816 and 6818.

Prime Factorization of 6816


2 6816
2 3408
2 1704
2 852
2 426
3 213
71 71
1

Prime factors of 6816 are 2, 3,71. Prime factorization of 6816 in exponential form is:

6816 = 25×31×711

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 6816 and 6818.

LCM(6816,6818) = 25×31×71×711×4871
LCM(6816,6818) = 23235744

Factors of 6816

List of positive integer factors of 6816 that divides 6816 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 71, 96, 142, 213, 284, 426, 568, 852, 1136, 1704, 2272, 3408, 6816

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 6816 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 6816 and 6818, than apply into the LCM equation.

GCF(6816,6818) = 2
LCM(6816,6818) = ( 6816 × 6818) / 2
LCM(6816,6818) = 46471488 / 2
LCM(6816,6818) = 23235744

Properties of LCM 6816 and 6818

(i) The LCM of 6818 and 6816 is associative

LCM of 6816 and 6818 = LCM of 6818 and 6816

Related Least Common Multiples of 6816

Related Least Common Multiples of 6818

Frequently Asked Questions on LCM of 6816 and 6818

1. What is the LCM of 6816 and 6818?

Answer: LCM of 6816 and 6818 is 23235744.

2. What are the Factors of 6816?

Answer: Factors of 6816 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 71, 96, 142, 213, 284, 426, 568, 852, 1136, 1704, 2272, 3408, 6816. There are 24 integers that are factors of 6816. The greatest factor of 6816 is 6816.

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 6816 and 6818?

Answer:

Least Common Multiple of 6816 and 6818 = 23235744

Step 1: Find the prime factorization of 6816

6816 = 2 x 2 x 2 x 2 x 2 x 3 x 71

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 = 23235744 = 2 x 2 x 2 x 2 x 2 x 3 x 7 x 71 x 487

Step 4: Therefore, the least common multiple of 6816 and 6818 is 23235744.