Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6290 and 6295 the smallest integer that is 7919110 that is divisible by both numbers.
Least Common Multiple (LCM) of 6290 and 6295 is 7919110.
LCM(6290,6295) = 7919110
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 6290 and 6295. First we will calculate the prime factors of 6290 and 6295.
Prime Factorization of 6290
2 | 6290 |
5 | 3145 |
17 | 629 |
37 | 37 |
1 |
Prime factors of 6290 are 2, 5, 17,37. Prime factorization of 6290 in exponential form is:
6290 = 21×51×171×371
Prime Factorization of 6295
5 | 6295 |
1259 | 1259 |
1 |
Prime factors of 6295 are 5,1259. Prime factorization of 6295 in exponential form is:
6295 = 51×12591
Now multiplying the highest exponent prime factors to calculate the LCM of 6290 and 6295.
LCM(6290,6295) = 21×51×171×371×12591
LCM(6290,6295) = 7919110
Factors of 6290
List of positive integer factors of 6290 that divides 6290 without a remainder.
1, 2, 5, 10, 17, 34, 37, 74, 85, 170, 185, 370, 629, 1258, 3145, 6290
Factors of 6295
List of positive integer factors of 6295 that divides 6295 without a remainder.
1, 5, 1259, 6295
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6290 and 6295, than apply into the LCM equation.
GCF(6290,6295) = 5
LCM(6290,6295) = ( 6290 × 6295) / 5
LCM(6290,6295) = 39595550 / 5
LCM(6290,6295) = 7919110
(i) The LCM of 6295 and 6290 is associative
LCM of 6290 and 6295 = LCM of 6295 and 6290
1. What is the LCM of 6290 and 6295?
Answer: LCM of 6290 and 6295 is 7919110.
2. What are the Factors of 6290?
Answer: Factors of 6290 are 1, 2, 5, 10, 17, 34, 37, 74, 85, 170, 185, 370, 629, 1258, 3145, 6290. There are 16 integers that are factors of 6290. The greatest factor of 6290 is 6290.
3. What are the Factors of 6295?
Answer: Factors of 6295 are 1, 5, 1259, 6295. There are 4 integers that are factors of 6295. The greatest factor of 6295 is 6295.
4. How to Find the LCM of 6290 and 6295?
Answer:
Least Common Multiple of 6290 and 6295 = 7919110
Step 1: Find the prime factorization of 6290
6290 = 2 x 5 x 17 x 37
Step 2: Find the prime factorization of 6295
6295 = 5 x 1259
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 7919110 = 2 x 5 x 17 x 37 x 1259
Step 4: Therefore, the least common multiple of 6290 and 6295 is 7919110.