Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 246 and 249 the smallest integer that is 20418 that is divisible by both numbers.
Least Common Multiple (LCM) of 246 and 249 is 20418.
LCM(246,249) = 20418
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 246 and 249. First we will calculate the prime factors of 246 and 249.
Prime Factorization of 246
2 | 246 |
3 | 123 |
41 | 41 |
1 |
Prime factors of 246 are 2, 3,41. Prime factorization of 246 in exponential form is:
246 = 21×31×411
Prime Factorization of 249
3 | 249 |
83 | 83 |
1 |
Prime factors of 249 are 3,83. Prime factorization of 249 in exponential form is:
249 = 31×831
Now multiplying the highest exponent prime factors to calculate the LCM of 246 and 249.
LCM(246,249) = 21×31×411×831
LCM(246,249) = 20418
Factors of 246
List of positive integer factors of 246 that divides 246 without a remainder.
1, 2, 3, 6, 41, 82, 123, 246
Factors of 249
List of positive integer factors of 249 that divides 249 without a remainder.
1, 3, 83, 249
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 246 and 249, than apply into the LCM equation.
GCF(246,249) = 3
LCM(246,249) = ( 246 × 249) / 3
LCM(246,249) = 61254 / 3
LCM(246,249) = 20418
(i) The LCM of 249 and 246 is associative
LCM of 246 and 249 = LCM of 249 and 246
1. What is the LCM of 246 and 249?
Answer: LCM of 246 and 249 is 20418.
2. What are the Factors of 246?
Answer: Factors of 246 are 1, 2, 3, 6, 41, 82, 123, 246. There are 8 integers that are factors of 246. The greatest factor of 246 is 246.
3. What are the Factors of 249?
Answer: Factors of 249 are 1, 3, 83, 249. There are 4 integers that are factors of 249. The greatest factor of 249 is 249.
4. How to Find the LCM of 246 and 249?
Answer:
Least Common Multiple of 246 and 249 = 20418
Step 1: Find the prime factorization of 246
246 = 2 x 3 x 41
Step 2: Find the prime factorization of 249
249 = 3 x 83
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 20418 = 2 x 3 x 41 x 83
Step 4: Therefore, the least common multiple of 246 and 249 is 20418.