Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1241 and 1249 the smallest integer that is 1550009 that is divisible by both numbers.
Least Common Multiple (LCM) of 1241 and 1249 is 1550009.
LCM(1241,1249) = 1550009
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 1241 and 1249. First we will calculate the prime factors of 1241 and 1249.
Prime Factorization of 1241
17 | 1241 |
73 | 73 |
1 |
Prime factors of 1241 are 17,73. Prime factorization of 1241 in exponential form is:
1241 = 171×731
Prime Factorization of 1249
1249 | 1249 |
1 |
Prime factors of 1249 are 1249. Prime factorization of 1249 in exponential form is:
1249 = 12491
Now multiplying the highest exponent prime factors to calculate the LCM of 1241 and 1249.
LCM(1241,1249) = 171×731×12491
LCM(1241,1249) = 1550009
Factors of 1241
List of positive integer factors of 1241 that divides 1241 without a remainder.
1, 17, 73, 1241
Factors of 1249
List of positive integer factors of 1249 that divides 1249 without a remainder.
1, 1249
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1241 and 1249, than apply into the LCM equation.
GCF(1241,1249) = 1
LCM(1241,1249) = ( 1241 × 1249) / 1
LCM(1241,1249) = 1550009 / 1
LCM(1241,1249) = 1550009
(i) The LCM of 1249 and 1241 is associative
LCM of 1241 and 1249 = LCM of 1249 and 1241
1. What is the LCM of 1241 and 1249?
Answer: LCM of 1241 and 1249 is 1550009.
2. What are the Factors of 1241?
Answer: Factors of 1241 are 1, 17, 73, 1241. There are 4 integers that are factors of 1241. The greatest factor of 1241 is 1241.
3. What are the Factors of 1249?
Answer: Factors of 1249 are 1, 1249. There are 2 integers that are factors of 1249. The greatest factor of 1249 is 1249.
4. How to Find the LCM of 1241 and 1249?
Answer:
Least Common Multiple of 1241 and 1249 = 1550009
Step 1: Find the prime factorization of 1241
1241 = 17 x 73
Step 2: Find the prime factorization of 1249
1249 = 1249
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1550009 = 17 x 73 x 1249
Step 4: Therefore, the least common multiple of 1241 and 1249 is 1550009.