Least Common Multiple of 6919 and 6925

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 6925 the smallest integer that is 47914075 that is divisible by both numbers.

Least Common Multiple (LCM) of 6919 and 6925 is 47914075.

LCM(6919,6925) = 47914075

LCM of 6919 and 6925

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

LCM of:
and

Least Common Multiple of 6919 and 6925

LCM of 6919 and 6925 is 47914075

Least common multiple can be found by multiplying the highest exponent prime factors of 6919 and 6925. First we will calculate the prime factors of 6919 and 6925.

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 6925


5 6925
5 1385
277 277
1

Prime factors of 6925 are 5,277. Prime factorization of 6925 in exponential form is:

6925 = 52×2771

Now multiplying the highest exponent prime factors to calculate the LCM of 6919 and 6925.

LCM(6919,6925) = 52×111×171×371×2771
LCM(6919,6925) = 47914075

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 6925

List of positive integer factors of 6925 that divides 6925 without a remainder.

1, 5, 25, 277, 1385, 6925

Least Common Multiple of 6919 and 6925 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 6925, than apply into the LCM equation.

GCF(6919,6925) = 1
LCM(6919,6925) = ( 6919 × 6925) / 1
LCM(6919,6925) = 47914075 / 1
LCM(6919,6925) = 47914075

Properties of LCM 6919 and 6925

(i) The LCM of 6925 and 6919 is associative

LCM of 6919 and 6925 = LCM of 6925 and 6919

Related Least Common Multiples of 6919

Related Least Common Multiples of 6925

Frequently Asked Questions on LCM of 6919 and 6925

1. What is the LCM of 6919 and 6925?

Answer: LCM of 6919 and 6925 is 47914075.

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 6925?

Answer: Factors of 6925 are 1, 5, 25, 277, 1385, 6925. There are 6 integers that are factors of 6925. The greatest factor of 6925 is 6925.

4. How to Find the LCM of 6919 and 6925?

Answer:

Least Common Multiple of 6919 and 6925 = 47914075

Step 1: Find the prime factorization of 6919

6919 = 11 x 17 x 37

Step 2: Find the prime factorization of 6925

6925 = 5 x 5 x 277

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

LCM = 47914075 = 5 x 5 x 11 x 17 x 37 x 277

Step 4: Therefore, the least common multiple of 6919 and 6925 is 47914075.