Least Common Multiple of 7938 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 7938 and 7945 the smallest integer that is 9009630 that is divisible by both numbers.

Least Common Multiple (LCM) of 7938 and 7945 is 9009630.

LCM(7938,7945) = 9009630

LCM of 7938 and 7945

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

LCM of:
and

Least Common Multiple of 7938 and 7945

LCM of 7938 and 7945 is 9009630

Least common multiple can be found by multiplying the highest exponent prime factors of 7938 and 7945. First we will calculate the prime factors of 7938 and 7945.

Prime Factorization of 7938


2 7938
3 3969
3 1323
3 441
3 147
7 49
7 7
1

Prime factors of 7938 are 2, 3,7. Prime factorization of 7938 in exponential form is:

7938 = 21×34×72

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 7938 and 7945.

LCM(7938,7945) = 21×34×51×72×2271
LCM(7938,7945) = 9009630

Factors of 7938

List of positive integer factors of 7938 that divides 7938 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 49, 54, 63, 81, 98, 126, 147, 162, 189, 294, 378, 441, 567, 882, 1134, 1323, 2646, 3969, 7938

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 7938 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 7938 and 7945, than apply into the LCM equation.

GCF(7938,7945) = 7
LCM(7938,7945) = ( 7938 × 7945) / 7
LCM(7938,7945) = 63067410 / 7
LCM(7938,7945) = 9009630

Properties of LCM 7938 and 7945

(i) The LCM of 7945 and 7938 is associative

LCM of 7938 and 7945 = LCM of 7945 and 7938

Related Least Common Multiples of 7938

Related Least Common Multiples of 7945

Frequently Asked Questions on LCM of 7938 and 7945

1. What is the LCM of 7938 and 7945?

Answer: LCM of 7938 and 7945 is 9009630.

2. What are the Factors of 7938?

Answer: Factors of 7938 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 49, 54, 63, 81, 98, 126, 147, 162, 189, 294, 378, 441, 567, 882, 1134, 1323, 2646, 3969, 7938. There are 30 integers that are factors of 7938. The greatest factor of 7938 is 7938.

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 7938 and 7945?

Answer:

Least Common Multiple of 7938 and 7945 = 9009630

Step 1: Find the prime factorization of 7938

7938 = 2 x 3 x 3 x 3 x 3 x 7 x 7

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 = 9009630 = 2 x 3 x 3 x 3 x 3 x 5 x 7 x 7 x 227

Step 4: Therefore, the least common multiple of 7938 and 7945 is 9009630.