Least Common Multiple of 939 and 946
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 939 and 946 the smallest integer that is 888294 that is divisible by both numbers.
Least Common Multiple (LCM) of 939 and 946 is 888294.
LCM(939,946) = 888294
LCM of 939 and 946
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 939 and 946 by Prime method
- Least Common Multiple of 939 and 946 with GCF Formula
LCM of 939 and 946 is 888294
Least common multiple can be found by multiplying the highest exponent prime factors of 939 and 946. First we will calculate the prime factors of 939 and 946.
Prime Factorization of 939
| 3 | 939 |
| 313 | 313 |
| 1 |
Prime factors of 939 are 3,313. Prime factorization of 939 in exponential form is:
939 = 31×3131
Prime Factorization of 946
| 2 | 946 |
| 11 | 473 |
| 43 | 43 |
| 1 |
Prime factors of 946 are 2, 11,43. Prime factorization of 946 in exponential form is:
946 = 21×111×431
Now multiplying the highest exponent prime factors to calculate the LCM of 939 and 946.
LCM(939,946) = 21×31×111×431×3131
LCM(939,946) = 888294
Factors of 939
List of positive integer factors of 939 that divides 939 without a remainder.
1, 3, 313, 939
Factors of 946
List of positive integer factors of 946 that divides 946 without a remainder.
1, 2, 11, 22, 43, 86, 473, 946
Least Common Multiple of 939 and 946 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 939 and 946, than apply into the LCM equation.
GCF(939,946) = 1
LCM(939,946) = ( 939 × 946) / 1
LCM(939,946) = 888294 / 1
LCM(939,946) = 888294
Properties of LCM 939 and 946
(i) The LCM of 946 and 939 is associative
LCM of 939 and 946 = LCM of 946 and 939
Related Least Common Multiples of 939
Related Least Common Multiples of 946
Frequently Asked Questions on LCM of 939 and 946
1. What is the LCM of 939 and 946?
Answer: LCM of 939 and 946 is 888294.
2. What are the Factors of 939?
Answer: Factors of 939 are 1, 3, 313, 939. There are 4 integers that are factors of 939. The greatest factor of 939 is 939.
3. What are the Factors of 946?
Answer: Factors of 946 are 1, 2, 11, 22, 43, 86, 473, 946. There are 8 integers that are factors of 946. The greatest factor of 946 is 946.
4. How to Find the LCM of 939 and 946?
Answer:
Least Common Multiple of 939 and 946 = 888294
Step 1: Find the prime factorization of 939
939 = 3 x 313
Step 2: Find the prime factorization of 946
946 = 2 x 11 x 43
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 888294 = 2 x 3 x 11 x 43 x 313
Step 4: Therefore, the least common multiple of 939 and 946 is 888294.