Least Common Multiple of 6938 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 6938 and 6945 the smallest integer that is 48184410 that is divisible by both numbers.

Least Common Multiple (LCM) of 6938 and 6945 is 48184410.

LCM(6938,6945) = 48184410

LCM of 6938 and 6945

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

LCM of:
and

Least Common Multiple of 6938 and 6945

LCM of 6938 and 6945 is 48184410

Least common multiple can be found by multiplying the highest exponent prime factors of 6938 and 6945. First we will calculate the prime factors of 6938 and 6945.

Prime Factorization of 6938


2 6938
3469 3469
1

Prime factors of 6938 are 2,3469. Prime factorization of 6938 in exponential form is:

6938 = 21×34691

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 6938 and 6945.

LCM(6938,6945) = 21×31×51×4631×34691
LCM(6938,6945) = 48184410

Factors of 6938

List of positive integer factors of 6938 that divides 6938 without a remainder.

1, 2, 3469, 6938

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 6938 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 6938 and 6945, than apply into the LCM equation.

GCF(6938,6945) = 1
LCM(6938,6945) = ( 6938 × 6945) / 1
LCM(6938,6945) = 48184410 / 1
LCM(6938,6945) = 48184410

Properties of LCM 6938 and 6945

(i) The LCM of 6945 and 6938 is associative

LCM of 6938 and 6945 = LCM of 6945 and 6938

Related Least Common Multiples of 6938

Related Least Common Multiples of 6945

Frequently Asked Questions on LCM of 6938 and 6945

1. What is the LCM of 6938 and 6945?

Answer: LCM of 6938 and 6945 is 48184410.

2. What are the Factors of 6938?

Answer: Factors of 6938 are 1, 2, 3469, 6938. There are 4 integers that are factors of 6938. The greatest factor of 6938 is 6938.

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 6938 and 6945?

Answer:

Least Common Multiple of 6938 and 6945 = 48184410

Step 1: Find the prime factorization of 6938

6938 = 2 x 3469

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 = 48184410 = 2 x 3 x 5 x 463 x 3469

Step 4: Therefore, the least common multiple of 6938 and 6945 is 48184410.