Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6931 and 6937 the smallest integer that is 48080347 that is divisible by both numbers.
Least Common Multiple (LCM) of 6931 and 6937 is 48080347.
LCM(6931,6937) = 48080347
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 6931 and 6937. First we will calculate the prime factors of 6931 and 6937.
Prime Factorization of 6931
29 | 6931 |
239 | 239 |
1 |
Prime factors of 6931 are 29,239. Prime factorization of 6931 in exponential form is:
6931 = 291×2391
Prime Factorization of 6937
7 | 6937 |
991 | 991 |
1 |
Prime factors of 6937 are 7,991. Prime factorization of 6937 in exponential form is:
6937 = 71×9911
Now multiplying the highest exponent prime factors to calculate the LCM of 6931 and 6937.
LCM(6931,6937) = 71×291×2391×9911
LCM(6931,6937) = 48080347
Factors of 6931
List of positive integer factors of 6931 that divides 6931 without a remainder.
1, 29, 239, 6931
Factors of 6937
List of positive integer factors of 6937 that divides 6937 without a remainder.
1, 7, 991, 6937
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6931 and 6937, than apply into the LCM equation.
GCF(6931,6937) = 1
LCM(6931,6937) = ( 6931 × 6937) / 1
LCM(6931,6937) = 48080347 / 1
LCM(6931,6937) = 48080347
(i) The LCM of 6937 and 6931 is associative
LCM of 6931 and 6937 = LCM of 6937 and 6931
1. What is the LCM of 6931 and 6937?
Answer: LCM of 6931 and 6937 is 48080347.
2. What are the Factors of 6931?
Answer: Factors of 6931 are 1, 29, 239, 6931. There are 4 integers that are factors of 6931. The greatest factor of 6931 is 6931.
3. What are the Factors of 6937?
Answer: Factors of 6937 are 1, 7, 991, 6937. There are 4 integers that are factors of 6937. The greatest factor of 6937 is 6937.
4. How to Find the LCM of 6931 and 6937?
Answer:
Least Common Multiple of 6931 and 6937 = 48080347
Step 1: Find the prime factorization of 6931
6931 = 29 x 239
Step 2: Find the prime factorization of 6937
6937 = 7 x 991
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 48080347 = 7 x 29 x 239 x 991
Step 4: Therefore, the least common multiple of 6931 and 6937 is 48080347.