Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 934 and 939 the smallest integer that is 877026 that is divisible by both numbers.
Least Common Multiple (LCM) of 934 and 939 is 877026.
LCM(934,939) = 877026
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 934 and 939. First we will calculate the prime factors of 934 and 939.
Prime Factorization of 934
2 | 934 |
467 | 467 |
1 |
Prime factors of 934 are 2,467. Prime factorization of 934 in exponential form is:
934 = 21×4671
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
Now multiplying the highest exponent prime factors to calculate the LCM of 934 and 939.
LCM(934,939) = 21×31×3131×4671
LCM(934,939) = 877026
Factors of 934
List of positive integer factors of 934 that divides 934 without a remainder.
1, 2, 467, 934
Factors of 939
List of positive integer factors of 939 that divides 939 without a remainder.
1, 3, 313, 939
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 934 and 939, than apply into the LCM equation.
GCF(934,939) = 1
LCM(934,939) = ( 934 × 939) / 1
LCM(934,939) = 877026 / 1
LCM(934,939) = 877026
(i) The LCM of 939 and 934 is associative
LCM of 934 and 939 = LCM of 939 and 934
1. What is the LCM of 934 and 939?
Answer: LCM of 934 and 939 is 877026.
2. What are the Factors of 934?
Answer: Factors of 934 are 1, 2, 467, 934. There are 4 integers that are factors of 934. The greatest factor of 934 is 934.
3. 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.
4. How to Find the LCM of 934 and 939?
Answer:
Least Common Multiple of 934 and 939 = 877026
Step 1: Find the prime factorization of 934
934 = 2 x 467
Step 2: Find the prime factorization of 939
939 = 3 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 = 877026 = 2 x 3 x 313 x 467
Step 4: Therefore, the least common multiple of 934 and 939 is 877026.