Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6295 and 6302 the smallest integer that is 39671090 that is divisible by both numbers.
Least Common Multiple (LCM) of 6295 and 6302 is 39671090.
LCM(6295,6302) = 39671090
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 6295 and 6302. First we will calculate the prime factors of 6295 and 6302.
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
Prime Factorization of 6302
2 | 6302 |
23 | 3151 |
137 | 137 |
1 |
Prime factors of 6302 are 2, 23,137. Prime factorization of 6302 in exponential form is:
6302 = 21×231×1371
Now multiplying the highest exponent prime factors to calculate the LCM of 6295 and 6302.
LCM(6295,6302) = 21×51×231×1371×12591
LCM(6295,6302) = 39671090
Factors of 6295
List of positive integer factors of 6295 that divides 6295 without a remainder.
1, 5, 1259, 6295
Factors of 6302
List of positive integer factors of 6302 that divides 6302 without a remainder.
1, 2, 23, 46, 137, 274, 3151, 6302
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6295 and 6302, than apply into the LCM equation.
GCF(6295,6302) = 1
LCM(6295,6302) = ( 6295 × 6302) / 1
LCM(6295,6302) = 39671090 / 1
LCM(6295,6302) = 39671090
(i) The LCM of 6302 and 6295 is associative
LCM of 6295 and 6302 = LCM of 6302 and 6295
1. What is the LCM of 6295 and 6302?
Answer: LCM of 6295 and 6302 is 39671090.
2. 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.
3. What are the Factors of 6302?
Answer: Factors of 6302 are 1, 2, 23, 46, 137, 274, 3151, 6302. There are 8 integers that are factors of 6302. The greatest factor of 6302 is 6302.
4. How to Find the LCM of 6295 and 6302?
Answer:
Least Common Multiple of 6295 and 6302 = 39671090
Step 1: Find the prime factorization of 6295
6295 = 5 x 1259
Step 2: Find the prime factorization of 6302
6302 = 2 x 23 x 137
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 39671090 = 2 x 5 x 23 x 137 x 1259
Step 4: Therefore, the least common multiple of 6295 and 6302 is 39671090.