Least Common Multiple of 6907 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 6907 and 6915 the smallest integer that is 47761905 that is divisible by both numbers.

Least Common Multiple (LCM) of 6907 and 6915 is 47761905.

LCM(6907,6915) = 47761905

LCM of 6907 and 6915

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

LCM of:
and

Least Common Multiple of 6907 and 6915

LCM of 6907 and 6915 is 47761905

Least common multiple can be found by multiplying the highest exponent prime factors of 6907 and 6915. First we will calculate the prime factors of 6907 and 6915.

Prime Factorization of 6907


6907 6907
1

Prime factors of 6907 are 6907. Prime factorization of 6907 in exponential form is:

6907 = 69071

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 6907 and 6915.

LCM(6907,6915) = 31×51×4611×69071
LCM(6907,6915) = 47761905

Factors of 6907

List of positive integer factors of 6907 that divides 6907 without a remainder.

1, 6907

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 6907 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 6907 and 6915, than apply into the LCM equation.

GCF(6907,6915) = 1
LCM(6907,6915) = ( 6907 × 6915) / 1
LCM(6907,6915) = 47761905 / 1
LCM(6907,6915) = 47761905

Properties of LCM 6907 and 6915

(i) The LCM of 6915 and 6907 is associative

LCM of 6907 and 6915 = LCM of 6915 and 6907

Related Least Common Multiples of 6907

Related Least Common Multiples of 6915

Frequently Asked Questions on LCM of 6907 and 6915

1. What is the LCM of 6907 and 6915?

Answer: LCM of 6907 and 6915 is 47761905.

2. What are the Factors of 6907?

Answer: Factors of 6907 are 1, 6907. There are 2 integers that are factors of 6907. The greatest factor of 6907 is 6907.

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 6907 and 6915?

Answer:

Least Common Multiple of 6907 and 6915 = 47761905

Step 1: Find the prime factorization of 6907

6907 = 6907

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 = 47761905 = 3 x 5 x 461 x 6907

Step 4: Therefore, the least common multiple of 6907 and 6915 is 47761905.