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 941 the smallest integer that is 881717 that is divisible by both numbers.
Least Common Multiple (LCM) of 937 and 941 is 881717.
LCM(937,941) = 881717
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 941. First we will calculate the prime factors of 937 and 941.
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 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 937 and 941.
LCM(937,941) = 9371×9411
LCM(937,941) = 881717
Factors of 937
List of positive integer factors of 937 that divides 937 without a remainder.
1, 937
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 937 and 941, than apply into the LCM equation.
GCF(937,941) = 1
LCM(937,941) = ( 937 × 941) / 1
LCM(937,941) = 881717 / 1
LCM(937,941) = 881717
(i) The LCM of 941 and 937 is associative
LCM of 937 and 941 = LCM of 941 and 937
1. What is the LCM of 937 and 941?
Answer: LCM of 937 and 941 is 881717.
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 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 937 and 941?
Answer:
Least Common Multiple of 937 and 941 = 881717
Step 1: Find the prime factorization of 937
937 = 937
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 = 881717 = 937 x 941
Step 4: Therefore, the least common multiple of 937 and 941 is 881717.