Least Common Multiple of 6909 and 6915

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6909 and 6915 the smallest integer that is 15925245 that is divisible by both numbers.

Least Common Multiple (LCM) of 6909 and 6915 is 15925245.

LCM(6909,6915) = 15925245

LCM of 6909 and 6915

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

LCM of:
and

Least Common Multiple of 6909 and 6915

LCM of 6909 and 6915 is 15925245

Least common multiple can be found by multiplying the highest exponent prime factors of 6909 and 6915. First we will calculate the prime factors of 6909 and 6915.

Prime Factorization of 6909


3 6909
7 2303
7 329
47 47
1

Prime factors of 6909 are 3, 7,47. Prime factorization of 6909 in exponential form is:

6909 = 31×72×471

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

Now multiplying the highest exponent prime factors to calculate the LCM of 6909 and 6915.

LCM(6909,6915) = 31×51×72×471×4611
LCM(6909,6915) = 15925245

Factors of 6909

List of positive integer factors of 6909 that divides 6909 without a remainder.

1, 3, 7, 21, 47, 49, 141, 147, 329, 987, 2303, 6909

Factors of 6915

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

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

Least Common Multiple of 6909 and 6915 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6909 and 6915, than apply into the LCM equation.

GCF(6909,6915) = 3
LCM(6909,6915) = ( 6909 × 6915) / 3
LCM(6909,6915) = 47775735 / 3
LCM(6909,6915) = 15925245

Properties of LCM 6909 and 6915

(i) The LCM of 6915 and 6909 is associative

LCM of 6909 and 6915 = LCM of 6915 and 6909

Related Least Common Multiples of 6909

Related Least Common Multiples of 6915

Frequently Asked Questions on LCM of 6909 and 6915

1. What is the LCM of 6909 and 6915?

Answer: LCM of 6909 and 6915 is 15925245.

2. What are the Factors of 6909?

Answer: Factors of 6909 are 1, 3, 7, 21, 47, 49, 141, 147, 329, 987, 2303, 6909. There are 12 integers that are factors of 6909. The greatest factor of 6909 is 6909.

3. 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.

4. How to Find the LCM of 6909 and 6915?

Answer:

Least Common Multiple of 6909 and 6915 = 15925245

Step 1: Find the prime factorization of 6909

6909 = 3 x 7 x 7 x 47

Step 2: Find the prime factorization of 6915

6915 = 3 x 5 x 461

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

LCM = 15925245 = 3 x 5 x 7 x 7 x 47 x 461

Step 4: Therefore, the least common multiple of 6909 and 6915 is 15925245.