Least Common Multiple of 7938 and 7944

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 7944 the smallest integer that is 10509912 that is divisible by both numbers.

Least Common Multiple (LCM) of 7938 and 7944 is 10509912.

LCM(7938,7944) = 10509912

LCM of 7938 and 7944

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

LCM of:
and

Least Common Multiple of 7938 and 7944

LCM of 7938 and 7944 is 10509912

Least common multiple can be found by multiplying the highest exponent prime factors of 7938 and 7944. First we will calculate the prime factors of 7938 and 7944.

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 7944


2 7944
2 3972
2 1986
3 993
331 331
1

Prime factors of 7944 are 2, 3,331. Prime factorization of 7944 in exponential form is:

7944 = 23×31×3311

Now multiplying the highest exponent prime factors to calculate the LCM of 7938 and 7944.

LCM(7938,7944) = 23×34×72×3311
LCM(7938,7944) = 10509912

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 7944

List of positive integer factors of 7944 that divides 7944 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 331, 662, 993, 1324, 1986, 2648, 3972, 7944

Least Common Multiple of 7938 and 7944 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 7944, than apply into the LCM equation.

GCF(7938,7944) = 6
LCM(7938,7944) = ( 7938 × 7944) / 6
LCM(7938,7944) = 63059472 / 6
LCM(7938,7944) = 10509912

Properties of LCM 7938 and 7944

(i) The LCM of 7944 and 7938 is associative

LCM of 7938 and 7944 = LCM of 7944 and 7938

Related Least Common Multiples of 7938

Related Least Common Multiples of 7944

Frequently Asked Questions on LCM of 7938 and 7944

1. What is the LCM of 7938 and 7944?

Answer: LCM of 7938 and 7944 is 10509912.

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 7944?

Answer: Factors of 7944 are 1, 2, 3, 4, 6, 8, 12, 24, 331, 662, 993, 1324, 1986, 2648, 3972, 7944. There are 16 integers that are factors of 7944. The greatest factor of 7944 is 7944.

4. How to Find the LCM of 7938 and 7944?

Answer:

Least Common Multiple of 7938 and 7944 = 10509912

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 7944

7944 = 2 x 2 x 2 x 3 x 331

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

LCM = 10509912 = 2 x 2 x 2 x 3 x 3 x 3 x 3 x 7 x 7 x 331

Step 4: Therefore, the least common multiple of 7938 and 7944 is 10509912.