Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6257 and 6258 the smallest integer that is 39156306 that is divisible by both numbers.
Least Common Multiple (LCM) of 6257 and 6258 is 39156306.
LCM(6257,6258) = 39156306
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 6257 and 6258. First we will calculate the prime factors of 6257 and 6258.
Prime Factorization of 6257
6257 | 6257 |
1 |
Prime factors of 6257 are 6257. Prime factorization of 6257 in exponential form is:
6257 = 62571
Prime Factorization of 6258
2 | 6258 |
3 | 3129 |
7 | 1043 |
149 | 149 |
1 |
Prime factors of 6258 are 2, 3, 7,149. Prime factorization of 6258 in exponential form is:
6258 = 21×31×71×1491
Now multiplying the highest exponent prime factors to calculate the LCM of 6257 and 6258.
LCM(6257,6258) = 21×31×71×1491×62571
LCM(6257,6258) = 39156306
Factors of 6257
List of positive integer factors of 6257 that divides 6257 without a remainder.
1, 6257
Factors of 6258
List of positive integer factors of 6258 that divides 6258 without a remainder.
1, 2, 3, 6, 7, 14, 21, 42, 149, 298, 447, 894, 1043, 2086, 3129, 6258
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6257 and 6258, than apply into the LCM equation.
GCF(6257,6258) = 1
LCM(6257,6258) = ( 6257 × 6258) / 1
LCM(6257,6258) = 39156306 / 1
LCM(6257,6258) = 39156306
(i) The LCM of 6258 and 6257 is associative
LCM of 6257 and 6258 = LCM of 6258 and 6257
1. What is the LCM of 6257 and 6258?
Answer: LCM of 6257 and 6258 is 39156306.
2. What are the Factors of 6257?
Answer: Factors of 6257 are 1, 6257. There are 2 integers that are factors of 6257. The greatest factor of 6257 is 6257.
3. What are the Factors of 6258?
Answer: Factors of 6258 are 1, 2, 3, 6, 7, 14, 21, 42, 149, 298, 447, 894, 1043, 2086, 3129, 6258. There are 16 integers that are factors of 6258. The greatest factor of 6258 is 6258.
4. How to Find the LCM of 6257 and 6258?
Answer:
Least Common Multiple of 6257 and 6258 = 39156306
Step 1: Find the prime factorization of 6257
6257 = 6257
Step 2: Find the prime factorization of 6258
6258 = 2 x 3 x 7 x 149
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 39156306 = 2 x 3 x 7 x 149 x 6257
Step 4: Therefore, the least common multiple of 6257 and 6258 is 39156306.