Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6929 and 6937 the smallest integer that is 48066473 that is divisible by both numbers.
Least Common Multiple (LCM) of 6929 and 6937 is 48066473.
LCM(6929,6937) = 48066473
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 6929 and 6937. First we will calculate the prime factors of 6929 and 6937.
Prime Factorization of 6929
13 | 6929 |
13 | 533 |
41 | 41 |
1 |
Prime factors of 6929 are 13,41. Prime factorization of 6929 in exponential form is:
6929 = 132×411
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 6929 and 6937.
LCM(6929,6937) = 71×132×411×9911
LCM(6929,6937) = 48066473
Factors of 6929
List of positive integer factors of 6929 that divides 6929 without a remainder.
1, 13, 41, 169, 533, 6929
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 6929 and 6937, than apply into the LCM equation.
GCF(6929,6937) = 1
LCM(6929,6937) = ( 6929 × 6937) / 1
LCM(6929,6937) = 48066473 / 1
LCM(6929,6937) = 48066473
(i) The LCM of 6937 and 6929 is associative
LCM of 6929 and 6937 = LCM of 6937 and 6929
1. What is the LCM of 6929 and 6937?
Answer: LCM of 6929 and 6937 is 48066473.
2. What are the Factors of 6929?
Answer: Factors of 6929 are 1, 13, 41, 169, 533, 6929. There are 6 integers that are factors of 6929. The greatest factor of 6929 is 6929.
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 6929 and 6937?
Answer:
Least Common Multiple of 6929 and 6937 = 48066473
Step 1: Find the prime factorization of 6929
6929 = 13 x 13 x 41
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 = 48066473 = 7 x 13 x 13 x 41 x 991
Step 4: Therefore, the least common multiple of 6929 and 6937 is 48066473.