Least Common Multiple of 6921 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 6921 and 6925 the smallest integer that is 47927925 that is divisible by both numbers.

Least Common Multiple (LCM) of 6921 and 6925 is 47927925.

LCM(6921,6925) = 47927925

LCM of 6921 and 6925

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

LCM of:
and

Least Common Multiple of 6921 and 6925

LCM of 6921 and 6925 is 47927925

Least common multiple can be found by multiplying the highest exponent prime factors of 6921 and 6925. First we will calculate the prime factors of 6921 and 6925.

Prime Factorization of 6921


3 6921
3 2307
769 769
1

Prime factors of 6921 are 3,769. Prime factorization of 6921 in exponential form is:

6921 = 32×7691

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 6921 and 6925.

LCM(6921,6925) = 32×52×2771×7691
LCM(6921,6925) = 47927925

Factors of 6921

List of positive integer factors of 6921 that divides 6921 without a remainder.

1, 3, 9, 769, 2307, 6921

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 6921 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 6921 and 6925, than apply into the LCM equation.

GCF(6921,6925) = 1
LCM(6921,6925) = ( 6921 × 6925) / 1
LCM(6921,6925) = 47927925 / 1
LCM(6921,6925) = 47927925

Properties of LCM 6921 and 6925

(i) The LCM of 6925 and 6921 is associative

LCM of 6921 and 6925 = LCM of 6925 and 6921

Related Least Common Multiples of 6921

Related Least Common Multiples of 6925

Frequently Asked Questions on LCM of 6921 and 6925

1. What is the LCM of 6921 and 6925?

Answer: LCM of 6921 and 6925 is 47927925.

2. What are the Factors of 6921?

Answer: Factors of 6921 are 1, 3, 9, 769, 2307, 6921. There are 6 integers that are factors of 6921. The greatest factor of 6921 is 6921.

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 6921 and 6925?

Answer:

Least Common Multiple of 6921 and 6925 = 47927925

Step 1: Find the prime factorization of 6921

6921 = 3 x 3 x 769

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 = 47927925 = 3 x 3 x 5 x 5 x 277 x 769

Step 4: Therefore, the least common multiple of 6921 and 6925 is 47927925.