Least Common Multiple of 6821 and 6827

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6821 and 6827 the smallest integer that is 46566967 that is divisible by both numbers.

Least Common Multiple (LCM) of 6821 and 6827 is 46566967.

LCM(6821,6827) = 46566967

LCM of 6821 and 6827

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

LCM of:
and

Least Common Multiple of 6821 and 6827

LCM of 6821 and 6827 is 46566967

Least common multiple can be found by multiplying the highest exponent prime factors of 6821 and 6827. First we will calculate the prime factors of 6821 and 6827.

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

Prime Factorization of 6827


6827 6827
1

Prime factors of 6827 are 6827. Prime factorization of 6827 in exponential form is:

6827 = 68271

Now multiplying the highest exponent prime factors to calculate the LCM of 6821 and 6827.

LCM(6821,6827) = 191×3591×68271
LCM(6821,6827) = 46566967

Factors of 6821

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

1, 19, 359, 6821

Factors of 6827

List of positive integer factors of 6827 that divides 6827 without a remainder.

1, 6827

Least Common Multiple of 6821 and 6827 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6821 and 6827, than apply into the LCM equation.

GCF(6821,6827) = 1
LCM(6821,6827) = ( 6821 × 6827) / 1
LCM(6821,6827) = 46566967 / 1
LCM(6821,6827) = 46566967

Properties of LCM 6821 and 6827

(i) The LCM of 6827 and 6821 is associative

LCM of 6821 and 6827 = LCM of 6827 and 6821

Related Least Common Multiples of 6821

Related Least Common Multiples of 6827

Frequently Asked Questions on LCM of 6821 and 6827

1. What is the LCM of 6821 and 6827?

Answer: LCM of 6821 and 6827 is 46566967.

2. 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.

3. What are the Factors of 6827?

Answer: Factors of 6827 are 1, 6827. There are 2 integers that are factors of 6827. The greatest factor of 6827 is 6827.

4. How to Find the LCM of 6821 and 6827?

Answer:

Least Common Multiple of 6821 and 6827 = 46566967

Step 1: Find the prime factorization of 6821

6821 = 19 x 359

Step 2: Find the prime factorization of 6827

6827 = 6827

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

LCM = 46566967 = 19 x 359 x 6827

Step 4: Therefore, the least common multiple of 6821 and 6827 is 46566967.