Least Common Multiple of 6722 and 6727

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 6727 the smallest integer that is 45218894 that is divisible by both numbers.

Least Common Multiple (LCM) of 6722 and 6727 is 45218894.

LCM(6722,6727) = 45218894

LCM of 6722 and 6727

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

LCM of:
and

Least Common Multiple of 6722 and 6727

LCM of 6722 and 6727 is 45218894

Least common multiple can be found by multiplying the highest exponent prime factors of 6722 and 6727. First we will calculate the prime factors of 6722 and 6727.

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 6727


7 6727
31 961
31 31
1

Prime factors of 6727 are 7,31. Prime factorization of 6727 in exponential form is:

6727 = 71×312

Now multiplying the highest exponent prime factors to calculate the LCM of 6722 and 6727.

LCM(6722,6727) = 21×71×312×33611
LCM(6722,6727) = 45218894

Factors of 6722

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

1, 2, 3361, 6722

Factors of 6727

List of positive integer factors of 6727 that divides 6727 without a remainder.

1, 7, 31, 217, 961, 6727

Least Common Multiple of 6722 and 6727 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 6727, than apply into the LCM equation.

GCF(6722,6727) = 1
LCM(6722,6727) = ( 6722 × 6727) / 1
LCM(6722,6727) = 45218894 / 1
LCM(6722,6727) = 45218894

Properties of LCM 6722 and 6727

(i) The LCM of 6727 and 6722 is associative

LCM of 6722 and 6727 = LCM of 6727 and 6722

Related Least Common Multiples of 6722

Related Least Common Multiples of 6727

Frequently Asked Questions on LCM of 6722 and 6727

1. What is the LCM of 6722 and 6727?

Answer: LCM of 6722 and 6727 is 45218894.

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 6727?

Answer: Factors of 6727 are 1, 7, 31, 217, 961, 6727. There are 6 integers that are factors of 6727. The greatest factor of 6727 is 6727.

4. How to Find the LCM of 6722 and 6727?

Answer:

Least Common Multiple of 6722 and 6727 = 45218894

Step 1: Find the prime factorization of 6722

6722 = 2 x 3361

Step 2: Find the prime factorization of 6727

6727 = 7 x 31 x 31

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

LCM = 45218894 = 2 x 7 x 31 x 31 x 3361

Step 4: Therefore, the least common multiple of 6722 and 6727 is 45218894.