Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7943 and 7950 the smallest integer that is 63146850 that is divisible by both numbers.
Least Common Multiple (LCM) of 7943 and 7950 is 63146850.
LCM(7943,7950) = 63146850
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 7943 and 7950. First we will calculate the prime factors of 7943 and 7950.
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
Prime Factorization of 7950
2 | 7950 |
3 | 3975 |
5 | 1325 |
5 | 265 |
53 | 53 |
1 |
Prime factors of 7950 are 2, 3, 5,53. Prime factorization of 7950 in exponential form is:
7950 = 21×31×52×531
Now multiplying the highest exponent prime factors to calculate the LCM of 7943 and 7950.
LCM(7943,7950) = 21×31×52×132×471×531
LCM(7943,7950) = 63146850
Factors of 7943
List of positive integer factors of 7943 that divides 7943 without a remainder.
1, 13, 47, 169, 611, 7943
Factors of 7950
List of positive integer factors of 7950 that divides 7950 without a remainder.
1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 53, 75, 106, 150, 159, 265, 318, 530, 795, 1325, 1590, 2650, 3975, 7950
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7943 and 7950, than apply into the LCM equation.
GCF(7943,7950) = 1
LCM(7943,7950) = ( 7943 × 7950) / 1
LCM(7943,7950) = 63146850 / 1
LCM(7943,7950) = 63146850
(i) The LCM of 7950 and 7943 is associative
LCM of 7943 and 7950 = LCM of 7950 and 7943
1. What is the LCM of 7943 and 7950?
Answer: LCM of 7943 and 7950 is 63146850.
2. 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.
3. What are the Factors of 7950?
Answer: Factors of 7950 are 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 53, 75, 106, 150, 159, 265, 318, 530, 795, 1325, 1590, 2650, 3975, 7950. There are 24 integers that are factors of 7950. The greatest factor of 7950 is 7950.
4. How to Find the LCM of 7943 and 7950?
Answer:
Least Common Multiple of 7943 and 7950 = 63146850
Step 1: Find the prime factorization of 7943
7943 = 13 x 13 x 47
Step 2: Find the prime factorization of 7950
7950 = 2 x 3 x 5 x 5 x 53
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 63146850 = 2 x 3 x 5 x 5 x 13 x 13 x 47 x 53
Step 4: Therefore, the least common multiple of 7943 and 7950 is 63146850.