Least Common Multiple of 6714 and 6722

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6714 and 6722 the smallest integer that is 22565754 that is divisible by both numbers.

Least Common Multiple (LCM) of 6714 and 6722 is 22565754.

LCM(6714,6722) = 22565754

LCM of 6714 and 6722

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

LCM of:
and

Least Common Multiple of 6714 and 6722

LCM of 6714 and 6722 is 22565754

Least common multiple can be found by multiplying the highest exponent prime factors of 6714 and 6722. First we will calculate the prime factors of 6714 and 6722.

Prime Factorization of 6714


2 6714
3 3357
3 1119
373 373
1

Prime factors of 6714 are 2, 3,373. Prime factorization of 6714 in exponential form is:

6714 = 21×32×3731

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

Now multiplying the highest exponent prime factors to calculate the LCM of 6714 and 6722.

LCM(6714,6722) = 21×32×3731×33611
LCM(6714,6722) = 22565754

Factors of 6714

List of positive integer factors of 6714 that divides 6714 without a remainder.

1, 2, 3, 6, 9, 18, 373, 746, 1119, 2238, 3357, 6714

Factors of 6722

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

1, 2, 3361, 6722

Least Common Multiple of 6714 and 6722 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6714 and 6722, than apply into the LCM equation.

GCF(6714,6722) = 2
LCM(6714,6722) = ( 6714 × 6722) / 2
LCM(6714,6722) = 45131508 / 2
LCM(6714,6722) = 22565754

Properties of LCM 6714 and 6722

(i) The LCM of 6722 and 6714 is associative

LCM of 6714 and 6722 = LCM of 6722 and 6714

Related Least Common Multiples of 6714

Related Least Common Multiples of 6722

Frequently Asked Questions on LCM of 6714 and 6722

1. What is the LCM of 6714 and 6722?

Answer: LCM of 6714 and 6722 is 22565754.

2. What are the Factors of 6714?

Answer: Factors of 6714 are 1, 2, 3, 6, 9, 18, 373, 746, 1119, 2238, 3357, 6714. There are 12 integers that are factors of 6714. The greatest factor of 6714 is 6714.

3. 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.

4. How to Find the LCM of 6714 and 6722?

Answer:

Least Common Multiple of 6714 and 6722 = 22565754

Step 1: Find the prime factorization of 6714

6714 = 2 x 3 x 3 x 373

Step 2: Find the prime factorization of 6722

6722 = 2 x 3361

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

LCM = 22565754 = 2 x 3 x 3 x 373 x 3361

Step 4: Therefore, the least common multiple of 6714 and 6722 is 22565754.