Least Common Multiple of 7940 and 7945

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7940 and 7945 the smallest integer that is 12616660 that is divisible by both numbers.

Least Common Multiple (LCM) of 7940 and 7945 is 12616660.

LCM(7940,7945) = 12616660

LCM of 7940 and 7945

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

LCM of:
and

Least Common Multiple of 7940 and 7945

LCM of 7940 and 7945 is 12616660

Least common multiple can be found by multiplying the highest exponent prime factors of 7940 and 7945. First we will calculate the prime factors of 7940 and 7945.

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

Prime Factorization of 7945


5 7945
7 1589
227 227
1

Prime factors of 7945 are 5, 7,227. Prime factorization of 7945 in exponential form is:

7945 = 51×71×2271

Now multiplying the highest exponent prime factors to calculate the LCM of 7940 and 7945.

LCM(7940,7945) = 22×51×71×2271×3971
LCM(7940,7945) = 12616660

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

Factors of 7945

List of positive integer factors of 7945 that divides 7945 without a remainder.

1, 5, 7, 35, 227, 1135, 1589, 7945

Least Common Multiple of 7940 and 7945 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7940 and 7945, than apply into the LCM equation.

GCF(7940,7945) = 5
LCM(7940,7945) = ( 7940 × 7945) / 5
LCM(7940,7945) = 63083300 / 5
LCM(7940,7945) = 12616660

Properties of LCM 7940 and 7945

(i) The LCM of 7945 and 7940 is associative

LCM of 7940 and 7945 = LCM of 7945 and 7940

Related Least Common Multiples of 7940

Related Least Common Multiples of 7945

Frequently Asked Questions on LCM of 7940 and 7945

1. What is the LCM of 7940 and 7945?

Answer: LCM of 7940 and 7945 is 12616660.

2. 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.

3. What are the Factors of 7945?

Answer: Factors of 7945 are 1, 5, 7, 35, 227, 1135, 1589, 7945. There are 8 integers that are factors of 7945. The greatest factor of 7945 is 7945.

4. How to Find the LCM of 7940 and 7945?

Answer:

Least Common Multiple of 7940 and 7945 = 12616660

Step 1: Find the prime factorization of 7940

7940 = 2 x 2 x 5 x 397

Step 2: Find the prime factorization of 7945

7945 = 5 x 7 x 227

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

LCM = 12616660 = 2 x 2 x 5 x 7 x 227 x 397

Step 4: Therefore, the least common multiple of 7940 and 7945 is 12616660.