Least Common Multiple of 7935 and 7940

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7935 and 7940 the smallest integer that is 12600780 that is divisible by both numbers.

Least Common Multiple (LCM) of 7935 and 7940 is 12600780.

LCM(7935,7940) = 12600780

LCM of 7935 and 7940

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

LCM of:
and

Least Common Multiple of 7935 and 7940

LCM of 7935 and 7940 is 12600780

Least common multiple can be found by multiplying the highest exponent prime factors of 7935 and 7940. First we will calculate the prime factors of 7935 and 7940.

Prime Factorization of 7935


3 7935
5 2645
23 529
23 23
1

Prime factors of 7935 are 3, 5,23. Prime factorization of 7935 in exponential form is:

7935 = 31×51×232

Prime Factorization of 7940


2 7940
2 3970
5 1985
397 397
1

Prime factors of 7940 are 2, 5,397. Prime factorization of 7940 in exponential form is:

7940 = 22×51×3971

Now multiplying the highest exponent prime factors to calculate the LCM of 7935 and 7940.

LCM(7935,7940) = 22×31×51×232×3971
LCM(7935,7940) = 12600780

Factors of 7935

List of positive integer factors of 7935 that divides 7935 without a remainder.

1, 3, 5, 15, 23, 69, 115, 345, 529, 1587, 2645, 7935

Factors of 7940

List of positive integer factors of 7940 that divides 7940 without a remainder.

1, 2, 4, 5, 10, 20, 397, 794, 1588, 1985, 3970, 7940

Least Common Multiple of 7935 and 7940 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7935 and 7940, than apply into the LCM equation.

GCF(7935,7940) = 5
LCM(7935,7940) = ( 7935 × 7940) / 5
LCM(7935,7940) = 63003900 / 5
LCM(7935,7940) = 12600780

Properties of LCM 7935 and 7940

(i) The LCM of 7940 and 7935 is associative

LCM of 7935 and 7940 = LCM of 7940 and 7935

Related Least Common Multiples of 7935

Related Least Common Multiples of 7940

Frequently Asked Questions on LCM of 7935 and 7940

1. What is the LCM of 7935 and 7940?

Answer: LCM of 7935 and 7940 is 12600780.

2. What are the Factors of 7935?

Answer: Factors of 7935 are 1, 3, 5, 15, 23, 69, 115, 345, 529, 1587, 2645, 7935. There are 12 integers that are factors of 7935. The greatest factor of 7935 is 7935.

3. What are the Factors of 7940?

Answer: Factors of 7940 are 1, 2, 4, 5, 10, 20, 397, 794, 1588, 1985, 3970, 7940. There are 12 integers that are factors of 7940. The greatest factor of 7940 is 7940.

4. How to Find the LCM of 7935 and 7940?

Answer:

Least Common Multiple of 7935 and 7940 = 12600780

Step 1: Find the prime factorization of 7935

7935 = 3 x 5 x 23 x 23

Step 2: Find the prime factorization of 7940

7940 = 2 x 2 x 5 x 397

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

LCM = 12600780 = 2 x 2 x 3 x 5 x 23 x 23 x 397

Step 4: Therefore, the least common multiple of 7935 and 7940 is 12600780.