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 7943 the smallest integer that is 63083306 that is divisible by both numbers.
Least Common Multiple (LCM) of 7942 and 7943 is 63083306.
LCM(7942,7943) = 63083306
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 7942 and 7943. First we will calculate the prime factors of 7942 and 7943.
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 7943
13 | 7943 |
13 | 611 |
47 | 47 |
1 |
Prime factors of 7943 are 13,47. Prime factorization of 7943 in exponential form is:
7943 = 132×471
Now multiplying the highest exponent prime factors to calculate the LCM of 7942 and 7943.
LCM(7942,7943) = 21×111×132×192×471
LCM(7942,7943) = 63083306
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 7943
List of positive integer factors of 7943 that divides 7943 without a remainder.
1, 13, 47, 169, 611, 7943
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7942 and 7943, than apply into the LCM equation.
GCF(7942,7943) = 1
LCM(7942,7943) = ( 7942 × 7943) / 1
LCM(7942,7943) = 63083306 / 1
LCM(7942,7943) = 63083306
(i) The LCM of 7943 and 7942 is associative
LCM of 7942 and 7943 = LCM of 7943 and 7942
1. What is the LCM of 7942 and 7943?
Answer: LCM of 7942 and 7943 is 63083306.
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 7943?
Answer: Factors of 7943 are 1, 13, 47, 169, 611, 7943. There are 6 integers that are factors of 7943. The greatest factor of 7943 is 7943.
4. How to Find the LCM of 7942 and 7943?
Answer:
Least Common Multiple of 7942 and 7943 = 63083306
Step 1: Find the prime factorization of 7942
7942 = 2 x 11 x 19 x 19
Step 2: Find the prime factorization of 7943
7943 = 13 x 13 x 47
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 63083306 = 2 x 11 x 13 x 13 x 19 x 19 x 47
Step 4: Therefore, the least common multiple of 7942 and 7943 is 63083306.