Least Common Multiple of 6910 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 6910 and 6915 the smallest integer that is 9556530 that is divisible by both numbers.

Least Common Multiple (LCM) of 6910 and 6915 is 9556530.

LCM(6910,6915) = 9556530

LCM of 6910 and 6915

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

LCM of:
and

Least Common Multiple of 6910 and 6915

LCM of 6910 and 6915 is 9556530

Least common multiple can be found by multiplying the highest exponent prime factors of 6910 and 6915. First we will calculate the prime factors of 6910 and 6915.

Prime Factorization of 6910


2 6910
5 3455
691 691
1

Prime factors of 6910 are 2, 5,691. Prime factorization of 6910 in exponential form is:

6910 = 21×51×6911

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 6910 and 6915.

LCM(6910,6915) = 21×31×51×4611×6911
LCM(6910,6915) = 9556530

Factors of 6910

List of positive integer factors of 6910 that divides 6910 without a remainder.

1, 2, 5, 10, 691, 1382, 3455, 6910

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 6910 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 6910 and 6915, than apply into the LCM equation.

GCF(6910,6915) = 5
LCM(6910,6915) = ( 6910 × 6915) / 5
LCM(6910,6915) = 47782650 / 5
LCM(6910,6915) = 9556530

Properties of LCM 6910 and 6915

(i) The LCM of 6915 and 6910 is associative

LCM of 6910 and 6915 = LCM of 6915 and 6910

Related Least Common Multiples of 6910

Related Least Common Multiples of 6915

Frequently Asked Questions on LCM of 6910 and 6915

1. What is the LCM of 6910 and 6915?

Answer: LCM of 6910 and 6915 is 9556530.

2. What are the Factors of 6910?

Answer: Factors of 6910 are 1, 2, 5, 10, 691, 1382, 3455, 6910. There are 8 integers that are factors of 6910. The greatest factor of 6910 is 6910.

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 6910 and 6915?

Answer:

Least Common Multiple of 6910 and 6915 = 9556530

Step 1: Find the prime factorization of 6910

6910 = 2 x 5 x 691

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 = 9556530 = 2 x 3 x 5 x 461 x 691

Step 4: Therefore, the least common multiple of 6910 and 6915 is 9556530.