Least Common Multiple of 6816 and 6821

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 6821 the smallest integer that is 46491936 that is divisible by both numbers.

Least Common Multiple (LCM) of 6816 and 6821 is 46491936.

LCM(6816,6821) = 46491936

LCM of 6816 and 6821

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

LCM of:
and

Least Common Multiple of 6816 and 6821

LCM of 6816 and 6821 is 46491936

Least common multiple can be found by multiplying the highest exponent prime factors of 6816 and 6821. First we will calculate the prime factors of 6816 and 6821.

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 6821


19 6821
359 359
1

Prime factors of 6821 are 19,359. Prime factorization of 6821 in exponential form is:

6821 = 191×3591

Now multiplying the highest exponent prime factors to calculate the LCM of 6816 and 6821.

LCM(6816,6821) = 25×31×191×711×3591
LCM(6816,6821) = 46491936

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 6821

List of positive integer factors of 6821 that divides 6821 without a remainder.

1, 19, 359, 6821

Least Common Multiple of 6816 and 6821 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 6821, than apply into the LCM equation.

GCF(6816,6821) = 1
LCM(6816,6821) = ( 6816 × 6821) / 1
LCM(6816,6821) = 46491936 / 1
LCM(6816,6821) = 46491936

Properties of LCM 6816 and 6821

(i) The LCM of 6821 and 6816 is associative

LCM of 6816 and 6821 = LCM of 6821 and 6816

Related Least Common Multiples of 6816

Related Least Common Multiples of 6821

Frequently Asked Questions on LCM of 6816 and 6821

1. What is the LCM of 6816 and 6821?

Answer: LCM of 6816 and 6821 is 46491936.

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 6821?

Answer: Factors of 6821 are 1, 19, 359, 6821. There are 4 integers that are factors of 6821. The greatest factor of 6821 is 6821.

4. How to Find the LCM of 6816 and 6821?

Answer:

Least Common Multiple of 6816 and 6821 = 46491936

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 6821

6821 = 19 x 359

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

LCM = 46491936 = 2 x 2 x 2 x 2 x 2 x 3 x 19 x 71 x 359

Step 4: Therefore, the least common multiple of 6816 and 6821 is 46491936.