Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6298 and 6304 the smallest integer that is 19851296 that is divisible by both numbers.
Least Common Multiple (LCM) of 6298 and 6304 is 19851296.
LCM(6298,6304) = 19851296
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 6298 and 6304. First we will calculate the prime factors of 6298 and 6304.
Prime Factorization of 6298
2 | 6298 |
47 | 3149 |
67 | 67 |
1 |
Prime factors of 6298 are 2, 47,67. Prime factorization of 6298 in exponential form is:
6298 = 21×471×671
Prime Factorization of 6304
2 | 6304 |
2 | 3152 |
2 | 1576 |
2 | 788 |
2 | 394 |
197 | 197 |
1 |
Prime factors of 6304 are 2,197. Prime factorization of 6304 in exponential form is:
6304 = 25×1971
Now multiplying the highest exponent prime factors to calculate the LCM of 6298 and 6304.
LCM(6298,6304) = 25×471×671×1971
LCM(6298,6304) = 19851296
Factors of 6298
List of positive integer factors of 6298 that divides 6298 without a remainder.
1, 2, 47, 67, 94, 134, 3149, 6298
Factors of 6304
List of positive integer factors of 6304 that divides 6304 without a remainder.
1, 2, 4, 8, 16, 32, 197, 394, 788, 1576, 3152, 6304
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6298 and 6304, than apply into the LCM equation.
GCF(6298,6304) = 2
LCM(6298,6304) = ( 6298 × 6304) / 2
LCM(6298,6304) = 39702592 / 2
LCM(6298,6304) = 19851296
(i) The LCM of 6304 and 6298 is associative
LCM of 6298 and 6304 = LCM of 6304 and 6298
1. What is the LCM of 6298 and 6304?
Answer: LCM of 6298 and 6304 is 19851296.
2. What are the Factors of 6298?
Answer: Factors of 6298 are 1, 2, 47, 67, 94, 134, 3149, 6298. There are 8 integers that are factors of 6298. The greatest factor of 6298 is 6298.
3. What are the Factors of 6304?
Answer: Factors of 6304 are 1, 2, 4, 8, 16, 32, 197, 394, 788, 1576, 3152, 6304. There are 12 integers that are factors of 6304. The greatest factor of 6304 is 6304.
4. How to Find the LCM of 6298 and 6304?
Answer:
Least Common Multiple of 6298 and 6304 = 19851296
Step 1: Find the prime factorization of 6298
6298 = 2 x 47 x 67
Step 2: Find the prime factorization of 6304
6304 = 2 x 2 x 2 x 2 x 2 x 197
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 19851296 = 2 x 2 x 2 x 2 x 2 x 47 x 67 x 197
Step 4: Therefore, the least common multiple of 6298 and 6304 is 19851296.