Least Common Multiple of 7942 and 7948

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7942 and 7948 the smallest integer that is 31561508 that is divisible by both numbers.

Least Common Multiple (LCM) of 7942 and 7948 is 31561508.

LCM(7942,7948) = 31561508

LCM of 7942 and 7948

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

LCM of:
and

Least Common Multiple of 7942 and 7948

LCM of 7942 and 7948 is 31561508

Least common multiple can be found by multiplying the highest exponent prime factors of 7942 and 7948. First we will calculate the prime factors of 7942 and 7948.

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

Prime Factorization of 7948


2 7948
2 3974
1987 1987
1

Prime factors of 7948 are 2,1987. Prime factorization of 7948 in exponential form is:

7948 = 22×19871

Now multiplying the highest exponent prime factors to calculate the LCM of 7942 and 7948.

LCM(7942,7948) = 22×111×192×19871
LCM(7942,7948) = 31561508

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

Factors of 7948

List of positive integer factors of 7948 that divides 7948 without a remainder.

1, 2, 4, 1987, 3974, 7948

Least Common Multiple of 7942 and 7948 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7942 and 7948, than apply into the LCM equation.

GCF(7942,7948) = 2
LCM(7942,7948) = ( 7942 × 7948) / 2
LCM(7942,7948) = 63123016 / 2
LCM(7942,7948) = 31561508

Properties of LCM 7942 and 7948

(i) The LCM of 7948 and 7942 is associative

LCM of 7942 and 7948 = LCM of 7948 and 7942

Related Least Common Multiples of 7942

Related Least Common Multiples of 7948

Frequently Asked Questions on LCM of 7942 and 7948

1. What is the LCM of 7942 and 7948?

Answer: LCM of 7942 and 7948 is 31561508.

2. 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.

3. What are the Factors of 7948?

Answer: Factors of 7948 are 1, 2, 4, 1987, 3974, 7948. There are 6 integers that are factors of 7948. The greatest factor of 7948 is 7948.

4. How to Find the LCM of 7942 and 7948?

Answer:

Least Common Multiple of 7942 and 7948 = 31561508

Step 1: Find the prime factorization of 7942

7942 = 2 x 11 x 19 x 19

Step 2: Find the prime factorization of 7948

7948 = 2 x 2 x 1987

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

LCM = 31561508 = 2 x 2 x 11 x 19 x 19 x 1987

Step 4: Therefore, the least common multiple of 7942 and 7948 is 31561508.