Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6254 and 6261 the smallest integer that is 39156294 that is divisible by both numbers.
Least Common Multiple (LCM) of 6254 and 6261 is 39156294.
LCM(6254,6261) = 39156294
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 6254 and 6261. First we will calculate the prime factors of 6254 and 6261.
Prime Factorization of 6254
2 | 6254 |
53 | 3127 |
59 | 59 |
1 |
Prime factors of 6254 are 2, 53,59. Prime factorization of 6254 in exponential form is:
6254 = 21×531×591
Prime Factorization of 6261
3 | 6261 |
2087 | 2087 |
1 |
Prime factors of 6261 are 3,2087. Prime factorization of 6261 in exponential form is:
6261 = 31×20871
Now multiplying the highest exponent prime factors to calculate the LCM of 6254 and 6261.
LCM(6254,6261) = 21×31×531×591×20871
LCM(6254,6261) = 39156294
Factors of 6254
List of positive integer factors of 6254 that divides 6254 without a remainder.
1, 2, 53, 59, 106, 118, 3127, 6254
Factors of 6261
List of positive integer factors of 6261 that divides 6261 without a remainder.
1, 3, 2087, 6261
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6254 and 6261, than apply into the LCM equation.
GCF(6254,6261) = 1
LCM(6254,6261) = ( 6254 × 6261) / 1
LCM(6254,6261) = 39156294 / 1
LCM(6254,6261) = 39156294
(i) The LCM of 6261 and 6254 is associative
LCM of 6254 and 6261 = LCM of 6261 and 6254
1. What is the LCM of 6254 and 6261?
Answer: LCM of 6254 and 6261 is 39156294.
2. What are the Factors of 6254?
Answer: Factors of 6254 are 1, 2, 53, 59, 106, 118, 3127, 6254. There are 8 integers that are factors of 6254. The greatest factor of 6254 is 6254.
3. What are the Factors of 6261?
Answer: Factors of 6261 are 1, 3, 2087, 6261. There are 4 integers that are factors of 6261. The greatest factor of 6261 is 6261.
4. How to Find the LCM of 6254 and 6261?
Answer:
Least Common Multiple of 6254 and 6261 = 39156294
Step 1: Find the prime factorization of 6254
6254 = 2 x 53 x 59
Step 2: Find the prime factorization of 6261
6261 = 3 x 2087
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 39156294 = 2 x 3 x 53 x 59 x 2087
Step 4: Therefore, the least common multiple of 6254 and 6261 is 39156294.