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 941 the smallest integer that is 883599 that is divisible by both numbers.
Least Common Multiple (LCM) of 939 and 941 is 883599.
LCM(939,941) = 883599
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 939 and 941. First we will calculate the prime factors of 939 and 941.
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 941
941 | 941 |
1 |
Prime factors of 941 are 941. Prime factorization of 941 in exponential form is:
941 = 9411
Now multiplying the highest exponent prime factors to calculate the LCM of 939 and 941.
LCM(939,941) = 31×3131×9411
LCM(939,941) = 883599
Factors of 939
List of positive integer factors of 939 that divides 939 without a remainder.
1, 3, 313, 939
Factors of 941
List of positive integer factors of 941 that divides 941 without a remainder.
1, 941
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 939 and 941, than apply into the LCM equation.
GCF(939,941) = 1
LCM(939,941) = ( 939 × 941) / 1
LCM(939,941) = 883599 / 1
LCM(939,941) = 883599
(i) The LCM of 941 and 939 is associative
LCM of 939 and 941 = LCM of 941 and 939
1. What is the LCM of 939 and 941?
Answer: LCM of 939 and 941 is 883599.
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 941?
Answer: Factors of 941 are 1, 941. There are 2 integers that are factors of 941. The greatest factor of 941 is 941.
4. How to Find the LCM of 939 and 941?
Answer:
Least Common Multiple of 939 and 941 = 883599
Step 1: Find the prime factorization of 939
939 = 3 x 313
Step 2: Find the prime factorization of 941
941 = 941
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 883599 = 3 x 313 x 941
Step 4: Therefore, the least common multiple of 939 and 941 is 883599.