Least Common Multiple of 6915 and 6921

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6915 and 6921 the smallest integer that is 15952905 that is divisible by both numbers.

Least Common Multiple (LCM) of 6915 and 6921 is 15952905.

LCM(6915,6921) = 15952905

LCM of 6915 and 6921

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

LCM of:
and

Least Common Multiple of 6915 and 6921

LCM of 6915 and 6921 is 15952905

Least common multiple can be found by multiplying the highest exponent prime factors of 6915 and 6921. First we will calculate the prime factors of 6915 and 6921.

Prime Factorization of 6915


3 6915
5 2305
461 461
1

Prime factors of 6915 are 3, 5,461. Prime factorization of 6915 in exponential form is:

6915 = 31×51×4611

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

Now multiplying the highest exponent prime factors to calculate the LCM of 6915 and 6921.

LCM(6915,6921) = 32×51×4611×7691
LCM(6915,6921) = 15952905

Factors of 6915

List of positive integer factors of 6915 that divides 6915 without a remainder.

1, 3, 5, 15, 461, 1383, 2305, 6915

Factors of 6921

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

1, 3, 9, 769, 2307, 6921

Least Common Multiple of 6915 and 6921 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6915 and 6921, than apply into the LCM equation.

GCF(6915,6921) = 3
LCM(6915,6921) = ( 6915 × 6921) / 3
LCM(6915,6921) = 47858715 / 3
LCM(6915,6921) = 15952905

Properties of LCM 6915 and 6921

(i) The LCM of 6921 and 6915 is associative

LCM of 6915 and 6921 = LCM of 6921 and 6915

Related Least Common Multiples of 6915

Related Least Common Multiples of 6921

Frequently Asked Questions on LCM of 6915 and 6921

1. What is the LCM of 6915 and 6921?

Answer: LCM of 6915 and 6921 is 15952905.

2. What are the Factors of 6915?

Answer: Factors of 6915 are 1, 3, 5, 15, 461, 1383, 2305, 6915. There are 8 integers that are factors of 6915. The greatest factor of 6915 is 6915.

3. 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.

4. How to Find the LCM of 6915 and 6921?

Answer:

Least Common Multiple of 6915 and 6921 = 15952905

Step 1: Find the prime factorization of 6915

6915 = 3 x 5 x 461

Step 2: Find the prime factorization of 6921

6921 = 3 x 3 x 769

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

LCM = 15952905 = 3 x 3 x 5 x 461 x 769

Step 4: Therefore, the least common multiple of 6915 and 6921 is 15952905.