Least Common Multiple of 7938 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 7938 and 7942 the smallest integer that is 31521798 that is divisible by both numbers.

Least Common Multiple (LCM) of 7938 and 7942 is 31521798.

LCM(7938,7942) = 31521798

LCM of 7938 and 7942

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

LCM of:
and

Least Common Multiple of 7938 and 7942

LCM of 7938 and 7942 is 31521798

Least common multiple can be found by multiplying the highest exponent prime factors of 7938 and 7942. First we will calculate the prime factors of 7938 and 7942.

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 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 7938 and 7942.

LCM(7938,7942) = 21×34×72×111×192
LCM(7938,7942) = 31521798

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 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 7938 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 7938 and 7942, than apply into the LCM equation.

GCF(7938,7942) = 2
LCM(7938,7942) = ( 7938 × 7942) / 2
LCM(7938,7942) = 63043596 / 2
LCM(7938,7942) = 31521798

Properties of LCM 7938 and 7942

(i) The LCM of 7942 and 7938 is associative

LCM of 7938 and 7942 = LCM of 7942 and 7938

Related Least Common Multiples of 7938

Related Least Common Multiples of 7942

Frequently Asked Questions on LCM of 7938 and 7942

1. What is the LCM of 7938 and 7942?

Answer: LCM of 7938 and 7942 is 31521798.

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 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 7938 and 7942?

Answer:

Least Common Multiple of 7938 and 7942 = 31521798

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 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 = 31521798 = 2 x 3 x 3 x 3 x 3 x 7 x 7 x 11 x 19 x 19

Step 4: Therefore, the least common multiple of 7938 and 7942 is 31521798.