Least Common Multiple of 7937 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 7937 and 7945 the smallest integer that is 63059465 that is divisible by both numbers.

Least Common Multiple (LCM) of 7937 and 7945 is 63059465.

LCM(7937,7945) = 63059465

LCM of 7937 and 7945

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

LCM of:
and

Least Common Multiple of 7937 and 7945

LCM of 7937 and 7945 is 63059465

Least common multiple can be found by multiplying the highest exponent prime factors of 7937 and 7945. First we will calculate the prime factors of 7937 and 7945.

Prime Factorization of 7937


7937 7937
1

Prime factors of 7937 are 7937. Prime factorization of 7937 in exponential form is:

7937 = 79371

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 7937 and 7945.

LCM(7937,7945) = 51×71×2271×79371
LCM(7937,7945) = 63059465

Factors of 7937

List of positive integer factors of 7937 that divides 7937 without a remainder.

1, 7937

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 7937 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 7937 and 7945, than apply into the LCM equation.

GCF(7937,7945) = 1
LCM(7937,7945) = ( 7937 × 7945) / 1
LCM(7937,7945) = 63059465 / 1
LCM(7937,7945) = 63059465

Properties of LCM 7937 and 7945

(i) The LCM of 7945 and 7937 is associative

LCM of 7937 and 7945 = LCM of 7945 and 7937

Related Least Common Multiples of 7937

Related Least Common Multiples of 7945

Frequently Asked Questions on LCM of 7937 and 7945

1. What is the LCM of 7937 and 7945?

Answer: LCM of 7937 and 7945 is 63059465.

2. What are the Factors of 7937?

Answer: Factors of 7937 are 1, 7937. There are 2 integers that are factors of 7937. The greatest factor of 7937 is 7937.

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 7937 and 7945?

Answer:

Least Common Multiple of 7937 and 7945 = 63059465

Step 1: Find the prime factorization of 7937

7937 = 7937

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 = 63059465 = 5 x 7 x 227 x 7937

Step 4: Therefore, the least common multiple of 7937 and 7945 is 63059465.