Least Common Multiple of 6903 and 6907

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6903 and 6907 the smallest integer that is 47679021 that is divisible by both numbers.

Least Common Multiple (LCM) of 6903 and 6907 is 47679021.

LCM(6903,6907) = 47679021

LCM of 6903 and 6907

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

LCM of:
and

Least Common Multiple of 6903 and 6907

LCM of 6903 and 6907 is 47679021

Least common multiple can be found by multiplying the highest exponent prime factors of 6903 and 6907. First we will calculate the prime factors of 6903 and 6907.

Prime Factorization of 6903


3 6903
3 2301
13 767
59 59
1

Prime factors of 6903 are 3, 13,59. Prime factorization of 6903 in exponential form is:

6903 = 32×131×591

Prime Factorization of 6907


6907 6907
1

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

6907 = 69071

Now multiplying the highest exponent prime factors to calculate the LCM of 6903 and 6907.

LCM(6903,6907) = 32×131×591×69071
LCM(6903,6907) = 47679021

Factors of 6903

List of positive integer factors of 6903 that divides 6903 without a remainder.

1, 3, 9, 13, 39, 59, 117, 177, 531, 767, 2301, 6903

Factors of 6907

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

1, 6907

Least Common Multiple of 6903 and 6907 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6903 and 6907, than apply into the LCM equation.

GCF(6903,6907) = 1
LCM(6903,6907) = ( 6903 × 6907) / 1
LCM(6903,6907) = 47679021 / 1
LCM(6903,6907) = 47679021

Properties of LCM 6903 and 6907

(i) The LCM of 6907 and 6903 is associative

LCM of 6903 and 6907 = LCM of 6907 and 6903

Related Least Common Multiples of 6903

Related Least Common Multiples of 6907

Frequently Asked Questions on LCM of 6903 and 6907

1. What is the LCM of 6903 and 6907?

Answer: LCM of 6903 and 6907 is 47679021.

2. What are the Factors of 6903?

Answer: Factors of 6903 are 1, 3, 9, 13, 39, 59, 117, 177, 531, 767, 2301, 6903. There are 12 integers that are factors of 6903. The greatest factor of 6903 is 6903.

3. 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.

4. How to Find the LCM of 6903 and 6907?

Answer:

Least Common Multiple of 6903 and 6907 = 47679021

Step 1: Find the prime factorization of 6903

6903 = 3 x 3 x 13 x 59

Step 2: Find the prime factorization of 6907

6907 = 6907

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

LCM = 47679021 = 3 x 3 x 13 x 59 x 6907

Step 4: Therefore, the least common multiple of 6903 and 6907 is 47679021.