Least Common Multiple of 6919 and 6924

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6919 and 6924 the smallest integer that is 47907156 that is divisible by both numbers.

Least Common Multiple (LCM) of 6919 and 6924 is 47907156.

LCM(6919,6924) = 47907156

LCM of 6919 and 6924

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

LCM of:
and

Least Common Multiple of 6919 and 6924

LCM of 6919 and 6924 is 47907156

Least common multiple can be found by multiplying the highest exponent prime factors of 6919 and 6924. First we will calculate the prime factors of 6919 and 6924.

Prime Factorization of 6919


11 6919
17 629
37 37
1

Prime factors of 6919 are 11, 17,37. Prime factorization of 6919 in exponential form is:

6919 = 111×171×371

Prime Factorization of 6924


2 6924
2 3462
3 1731
577 577
1

Prime factors of 6924 are 2, 3,577. Prime factorization of 6924 in exponential form is:

6924 = 22×31×5771

Now multiplying the highest exponent prime factors to calculate the LCM of 6919 and 6924.

LCM(6919,6924) = 22×31×111×171×371×5771
LCM(6919,6924) = 47907156

Factors of 6919

List of positive integer factors of 6919 that divides 6919 without a remainder.

1, 11, 17, 37, 187, 407, 629, 6919

Factors of 6924

List of positive integer factors of 6924 that divides 6924 without a remainder.

1, 2, 3, 4, 6, 12, 577, 1154, 1731, 2308, 3462, 6924

Least Common Multiple of 6919 and 6924 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6919 and 6924, than apply into the LCM equation.

GCF(6919,6924) = 1
LCM(6919,6924) = ( 6919 × 6924) / 1
LCM(6919,6924) = 47907156 / 1
LCM(6919,6924) = 47907156

Properties of LCM 6919 and 6924

(i) The LCM of 6924 and 6919 is associative

LCM of 6919 and 6924 = LCM of 6924 and 6919

Related Least Common Multiples of 6919

Related Least Common Multiples of 6924

Frequently Asked Questions on LCM of 6919 and 6924

1. What is the LCM of 6919 and 6924?

Answer: LCM of 6919 and 6924 is 47907156.

2. What are the Factors of 6919?

Answer: Factors of 6919 are 1, 11, 17, 37, 187, 407, 629, 6919. There are 8 integers that are factors of 6919. The greatest factor of 6919 is 6919.

3. What are the Factors of 6924?

Answer: Factors of 6924 are 1, 2, 3, 4, 6, 12, 577, 1154, 1731, 2308, 3462, 6924. There are 12 integers that are factors of 6924. The greatest factor of 6924 is 6924.

4. How to Find the LCM of 6919 and 6924?

Answer:

Least Common Multiple of 6919 and 6924 = 47907156

Step 1: Find the prime factorization of 6919

6919 = 11 x 17 x 37

Step 2: Find the prime factorization of 6924

6924 = 2 x 2 x 3 x 577

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

LCM = 47907156 = 2 x 2 x 3 x 11 x 17 x 37 x 577

Step 4: Therefore, the least common multiple of 6919 and 6924 is 47907156.