Least Common Multiple of 6719 and 6724

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6719 and 6724 the smallest integer that is 45178556 that is divisible by both numbers.

Least Common Multiple (LCM) of 6719 and 6724 is 45178556.

LCM(6719,6724) = 45178556

LCM of 6719 and 6724

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

LCM of:
and

Least Common Multiple of 6719 and 6724

LCM of 6719 and 6724 is 45178556

Least common multiple can be found by multiplying the highest exponent prime factors of 6719 and 6724. First we will calculate the prime factors of 6719 and 6724.

Prime Factorization of 6719


6719 6719
1

Prime factors of 6719 are 6719. Prime factorization of 6719 in exponential form is:

6719 = 67191

Prime Factorization of 6724


2 6724
2 3362
41 1681
41 41
1

Prime factors of 6724 are 2,41. Prime factorization of 6724 in exponential form is:

6724 = 22×412

Now multiplying the highest exponent prime factors to calculate the LCM of 6719 and 6724.

LCM(6719,6724) = 22×412×67191
LCM(6719,6724) = 45178556

Factors of 6719

List of positive integer factors of 6719 that divides 6719 without a remainder.

1, 6719

Factors of 6724

List of positive integer factors of 6724 that divides 6724 without a remainder.

1, 2, 4, 41, 82, 164, 1681, 3362, 6724

Least Common Multiple of 6719 and 6724 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6719 and 6724, than apply into the LCM equation.

GCF(6719,6724) = 1
LCM(6719,6724) = ( 6719 × 6724) / 1
LCM(6719,6724) = 45178556 / 1
LCM(6719,6724) = 45178556

Properties of LCM 6719 and 6724

(i) The LCM of 6724 and 6719 is associative

LCM of 6719 and 6724 = LCM of 6724 and 6719

Related Least Common Multiples of 6719

Related Least Common Multiples of 6724

Frequently Asked Questions on LCM of 6719 and 6724

1. What is the LCM of 6719 and 6724?

Answer: LCM of 6719 and 6724 is 45178556.

2. What are the Factors of 6719?

Answer: Factors of 6719 are 1, 6719. There are 2 integers that are factors of 6719. The greatest factor of 6719 is 6719.

3. What are the Factors of 6724?

Answer: Factors of 6724 are 1, 2, 4, 41, 82, 164, 1681, 3362, 6724. There are 9 integers that are factors of 6724. The greatest factor of 6724 is 6724.

4. How to Find the LCM of 6719 and 6724?

Answer:

Least Common Multiple of 6719 and 6724 = 45178556

Step 1: Find the prime factorization of 6719

6719 = 6719

Step 2: Find the prime factorization of 6724

6724 = 2 x 2 x 41 x 41

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

LCM = 45178556 = 2 x 2 x 41 x 41 x 6719

Step 4: Therefore, the least common multiple of 6719 and 6724 is 45178556.