Least Common Multiple of 5942 and 5947
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5942 and 5947 the smallest integer that is 35337074 that is divisible by both numbers.
Least Common Multiple (LCM) of 5942 and 5947 is 35337074.
LCM(5942,5947) = 35337074
LCM of 5942 and 5947
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5942 and 5947 by Prime method
- Least Common Multiple of 5942 and 5947 with GCF Formula
LCM of 5942 and 5947 is 35337074
Least common multiple can be found by multiplying the highest exponent prime factors of 5942 and 5947. First we will calculate the prime factors of 5942 and 5947.
Prime Factorization of 5942
| 2 | 5942 |
| 2971 | 2971 |
| 1 |
Prime factors of 5942 are 2,2971. Prime factorization of 5942 in exponential form is:
5942 = 21×29711
Prime Factorization of 5947
| 19 | 5947 |
| 313 | 313 |
| 1 |
Prime factors of 5947 are 19,313. Prime factorization of 5947 in exponential form is:
5947 = 191×3131
Now multiplying the highest exponent prime factors to calculate the LCM of 5942 and 5947.
LCM(5942,5947) = 21×191×3131×29711
LCM(5942,5947) = 35337074
Factors of 5942
List of positive integer factors of 5942 that divides 5942 without a remainder.
1, 2, 2971, 5942
Factors of 5947
List of positive integer factors of 5947 that divides 5947 without a remainder.
1, 19, 313, 5947
Least Common Multiple of 5942 and 5947 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5942 and 5947, than apply into the LCM equation.
GCF(5942,5947) = 1
LCM(5942,5947) = ( 5942 × 5947) / 1
LCM(5942,5947) = 35337074 / 1
LCM(5942,5947) = 35337074
Properties of LCM 5942 and 5947
(i) The LCM of 5947 and 5942 is associative
LCM of 5942 and 5947 = LCM of 5947 and 5942
Related Least Common Multiples of 5942
Related Least Common Multiples of 5947
Frequently Asked Questions on LCM of 5942 and 5947
1. What is the LCM of 5942 and 5947?
Answer: LCM of 5942 and 5947 is 35337074.
2. What are the Factors of 5942?
Answer: Factors of 5942 are 1, 2, 2971, 5942. There are 4 integers that are factors of 5942. The greatest factor of 5942 is 5942.
3. What are the Factors of 5947?
Answer: Factors of 5947 are 1, 19, 313, 5947. There are 4 integers that are factors of 5947. The greatest factor of 5947 is 5947.
4. How to Find the LCM of 5942 and 5947?
Answer:
Least Common Multiple of 5942 and 5947 = 35337074
Step 1: Find the prime factorization of 5942
5942 = 2 x 2971
Step 2: Find the prime factorization of 5947
5947 = 19 x 313
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 35337074 = 2 x 19 x 313 x 2971
Step 4: Therefore, the least common multiple of 5942 and 5947 is 35337074.