Least Common Multiple of 6941 and 6945

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6941 and 6945 the smallest integer that is 48205245 that is divisible by both numbers.

Least Common Multiple (LCM) of 6941 and 6945 is 48205245.

LCM(6941,6945) = 48205245

LCM of 6941 and 6945

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

LCM of:
and

Least Common Multiple of 6941 and 6945

LCM of 6941 and 6945 is 48205245

Least common multiple can be found by multiplying the highest exponent prime factors of 6941 and 6945. First we will calculate the prime factors of 6941 and 6945.

Prime Factorization of 6941


11 6941
631 631
1

Prime factors of 6941 are 11,631. Prime factorization of 6941 in exponential form is:

6941 = 111×6311

Prime Factorization of 6945


3 6945
5 2315
463 463
1

Prime factors of 6945 are 3, 5,463. Prime factorization of 6945 in exponential form is:

6945 = 31×51×4631

Now multiplying the highest exponent prime factors to calculate the LCM of 6941 and 6945.

LCM(6941,6945) = 31×51×111×4631×6311
LCM(6941,6945) = 48205245

Factors of 6941

List of positive integer factors of 6941 that divides 6941 without a remainder.

1, 11, 631, 6941

Factors of 6945

List of positive integer factors of 6945 that divides 6945 without a remainder.

1, 3, 5, 15, 463, 1389, 2315, 6945

Least Common Multiple of 6941 and 6945 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6941 and 6945, than apply into the LCM equation.

GCF(6941,6945) = 1
LCM(6941,6945) = ( 6941 × 6945) / 1
LCM(6941,6945) = 48205245 / 1
LCM(6941,6945) = 48205245

Properties of LCM 6941 and 6945

(i) The LCM of 6945 and 6941 is associative

LCM of 6941 and 6945 = LCM of 6945 and 6941

Related Least Common Multiples of 6941

Related Least Common Multiples of 6945

Frequently Asked Questions on LCM of 6941 and 6945

1. What is the LCM of 6941 and 6945?

Answer: LCM of 6941 and 6945 is 48205245.

2. What are the Factors of 6941?

Answer: Factors of 6941 are 1, 11, 631, 6941. There are 4 integers that are factors of 6941. The greatest factor of 6941 is 6941.

3. What are the Factors of 6945?

Answer: Factors of 6945 are 1, 3, 5, 15, 463, 1389, 2315, 6945. There are 8 integers that are factors of 6945. The greatest factor of 6945 is 6945.

4. How to Find the LCM of 6941 and 6945?

Answer:

Least Common Multiple of 6941 and 6945 = 48205245

Step 1: Find the prime factorization of 6941

6941 = 11 x 631

Step 2: Find the prime factorization of 6945

6945 = 3 x 5 x 463

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

LCM = 48205245 = 3 x 5 x 11 x 463 x 631

Step 4: Therefore, the least common multiple of 6941 and 6945 is 48205245.