Least Common Multiple of 6722 and 6723

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6722 and 6723 the smallest integer that is 45192006 that is divisible by both numbers.

Least Common Multiple (LCM) of 6722 and 6723 is 45192006.

LCM(6722,6723) = 45192006

LCM of 6722 and 6723

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

LCM of:
and

Least Common Multiple of 6722 and 6723

LCM of 6722 and 6723 is 45192006

Least common multiple can be found by multiplying the highest exponent prime factors of 6722 and 6723. First we will calculate the prime factors of 6722 and 6723.

Prime Factorization of 6722


2 6722
3361 3361
1

Prime factors of 6722 are 2,3361. Prime factorization of 6722 in exponential form is:

6722 = 21×33611

Prime Factorization of 6723


3 6723
3 2241
3 747
3 249
83 83
1

Prime factors of 6723 are 3,83. Prime factorization of 6723 in exponential form is:

6723 = 34×831

Now multiplying the highest exponent prime factors to calculate the LCM of 6722 and 6723.

LCM(6722,6723) = 21×34×831×33611
LCM(6722,6723) = 45192006

Factors of 6722

List of positive integer factors of 6722 that divides 6722 without a remainder.

1, 2, 3361, 6722

Factors of 6723

List of positive integer factors of 6723 that divides 6723 without a remainder.

1, 3, 9, 27, 81, 83, 249, 747, 2241, 6723

Least Common Multiple of 6722 and 6723 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6722 and 6723, than apply into the LCM equation.

GCF(6722,6723) = 1
LCM(6722,6723) = ( 6722 × 6723) / 1
LCM(6722,6723) = 45192006 / 1
LCM(6722,6723) = 45192006

Properties of LCM 6722 and 6723

(i) The LCM of 6723 and 6722 is associative

LCM of 6722 and 6723 = LCM of 6723 and 6722

Related Least Common Multiples of 6722

Related Least Common Multiples of 6723

Frequently Asked Questions on LCM of 6722 and 6723

1. What is the LCM of 6722 and 6723?

Answer: LCM of 6722 and 6723 is 45192006.

2. What are the Factors of 6722?

Answer: Factors of 6722 are 1, 2, 3361, 6722. There are 4 integers that are factors of 6722. The greatest factor of 6722 is 6722.

3. What are the Factors of 6723?

Answer: Factors of 6723 are 1, 3, 9, 27, 81, 83, 249, 747, 2241, 6723. There are 10 integers that are factors of 6723. The greatest factor of 6723 is 6723.

4. How to Find the LCM of 6722 and 6723?

Answer:

Least Common Multiple of 6722 and 6723 = 45192006

Step 1: Find the prime factorization of 6722

6722 = 2 x 3361

Step 2: Find the prime factorization of 6723

6723 = 3 x 3 x 3 x 3 x 83

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

LCM = 45192006 = 2 x 3 x 3 x 3 x 3 x 83 x 3361

Step 4: Therefore, the least common multiple of 6722 and 6723 is 45192006.