Least Common Multiple of 7934 and 7938

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7934 and 7938 the smallest integer that is 31490046 that is divisible by both numbers.

Least Common Multiple (LCM) of 7934 and 7938 is 31490046.

LCM(7934,7938) = 31490046

LCM of 7934 and 7938

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

LCM of:
and

Least Common Multiple of 7934 and 7938

LCM of 7934 and 7938 is 31490046

Least common multiple can be found by multiplying the highest exponent prime factors of 7934 and 7938. First we will calculate the prime factors of 7934 and 7938.

Prime Factorization of 7934


2 7934
3967 3967
1

Prime factors of 7934 are 2,3967. Prime factorization of 7934 in exponential form is:

7934 = 21×39671

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

Now multiplying the highest exponent prime factors to calculate the LCM of 7934 and 7938.

LCM(7934,7938) = 21×34×72×39671
LCM(7934,7938) = 31490046

Factors of 7934

List of positive integer factors of 7934 that divides 7934 without a remainder.

1, 2, 3967, 7934

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

Least Common Multiple of 7934 and 7938 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7934 and 7938, than apply into the LCM equation.

GCF(7934,7938) = 2
LCM(7934,7938) = ( 7934 × 7938) / 2
LCM(7934,7938) = 62980092 / 2
LCM(7934,7938) = 31490046

Properties of LCM 7934 and 7938

(i) The LCM of 7938 and 7934 is associative

LCM of 7934 and 7938 = LCM of 7938 and 7934

Related Least Common Multiples of 7934

Related Least Common Multiples of 7938

Frequently Asked Questions on LCM of 7934 and 7938

1. What is the LCM of 7934 and 7938?

Answer: LCM of 7934 and 7938 is 31490046.

2. What are the Factors of 7934?

Answer: Factors of 7934 are 1, 2, 3967, 7934. There are 4 integers that are factors of 7934. The greatest factor of 7934 is 7934.

3. 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.

4. How to Find the LCM of 7934 and 7938?

Answer:

Least Common Multiple of 7934 and 7938 = 31490046

Step 1: Find the prime factorization of 7934

7934 = 2 x 3967

Step 2: Find the prime factorization of 7938

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

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

LCM = 31490046 = 2 x 3 x 3 x 3 x 3 x 7 x 7 x 3967

Step 4: Therefore, the least common multiple of 7934 and 7938 is 31490046.