Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 937 and 943 the smallest integer that is 883591 that is divisible by both numbers.
Least Common Multiple (LCM) of 937 and 943 is 883591.
LCM(937,943) = 883591
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 937 and 943. First we will calculate the prime factors of 937 and 943.
Prime Factorization of 937
937 | 937 |
1 |
Prime factors of 937 are 937. Prime factorization of 937 in exponential form is:
937 = 9371
Prime Factorization of 943
23 | 943 |
41 | 41 |
1 |
Prime factors of 943 are 23,41. Prime factorization of 943 in exponential form is:
943 = 231×411
Now multiplying the highest exponent prime factors to calculate the LCM of 937 and 943.
LCM(937,943) = 231×411×9371
LCM(937,943) = 883591
Factors of 937
List of positive integer factors of 937 that divides 937 without a remainder.
1, 937
Factors of 943
List of positive integer factors of 943 that divides 943 without a remainder.
1, 23, 41, 943
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 937 and 943, than apply into the LCM equation.
GCF(937,943) = 1
LCM(937,943) = ( 937 × 943) / 1
LCM(937,943) = 883591 / 1
LCM(937,943) = 883591
(i) The LCM of 943 and 937 is associative
LCM of 937 and 943 = LCM of 943 and 937
1. What is the LCM of 937 and 943?
Answer: LCM of 937 and 943 is 883591.
2. What are the Factors of 937?
Answer: Factors of 937 are 1, 937. There are 2 integers that are factors of 937. The greatest factor of 937 is 937.
3. What are the Factors of 943?
Answer: Factors of 943 are 1, 23, 41, 943. There are 4 integers that are factors of 943. The greatest factor of 943 is 943.
4. How to Find the LCM of 937 and 943?
Answer:
Least Common Multiple of 937 and 943 = 883591
Step 1: Find the prime factorization of 937
937 = 937
Step 2: Find the prime factorization of 943
943 = 23 x 41
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 883591 = 23 x 41 x 937
Step 4: Therefore, the least common multiple of 937 and 943 is 883591.