Least Common Multiple of 7934 and 7942

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 7942 the smallest integer that is 31505914 that is divisible by both numbers.

Least Common Multiple (LCM) of 7934 and 7942 is 31505914.

LCM(7934,7942) = 31505914

LCM of 7934 and 7942

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

LCM of:
and

Least Common Multiple of 7934 and 7942

LCM of 7934 and 7942 is 31505914

Least common multiple can be found by multiplying the highest exponent prime factors of 7934 and 7942. First we will calculate the prime factors of 7934 and 7942.

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 7942


2 7942
11 3971
19 361
19 19
1

Prime factors of 7942 are 2, 11,19. Prime factorization of 7942 in exponential form is:

7942 = 21×111×192

Now multiplying the highest exponent prime factors to calculate the LCM of 7934 and 7942.

LCM(7934,7942) = 21×111×192×39671
LCM(7934,7942) = 31505914

Factors of 7934

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

1, 2, 3967, 7934

Factors of 7942

List of positive integer factors of 7942 that divides 7942 without a remainder.

1, 2, 11, 19, 22, 38, 209, 361, 418, 722, 3971, 7942

Least Common Multiple of 7934 and 7942 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 7942, than apply into the LCM equation.

GCF(7934,7942) = 2
LCM(7934,7942) = ( 7934 × 7942) / 2
LCM(7934,7942) = 63011828 / 2
LCM(7934,7942) = 31505914

Properties of LCM 7934 and 7942

(i) The LCM of 7942 and 7934 is associative

LCM of 7934 and 7942 = LCM of 7942 and 7934

Related Least Common Multiples of 7934

Related Least Common Multiples of 7942

Frequently Asked Questions on LCM of 7934 and 7942

1. What is the LCM of 7934 and 7942?

Answer: LCM of 7934 and 7942 is 31505914.

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 7942?

Answer: Factors of 7942 are 1, 2, 11, 19, 22, 38, 209, 361, 418, 722, 3971, 7942. There are 12 integers that are factors of 7942. The greatest factor of 7942 is 7942.

4. How to Find the LCM of 7934 and 7942?

Answer:

Least Common Multiple of 7934 and 7942 = 31505914

Step 1: Find the prime factorization of 7934

7934 = 2 x 3967

Step 2: Find the prime factorization of 7942

7942 = 2 x 11 x 19 x 19

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

LCM = 31505914 = 2 x 11 x 19 x 19 x 3967

Step 4: Therefore, the least common multiple of 7934 and 7942 is 31505914.