Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2477 and 2485 the smallest integer that is 6155345 that is divisible by both numbers.
Least Common Multiple (LCM) of 2477 and 2485 is 6155345.
LCM(2477,2485) = 6155345
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 2477 and 2485. First we will calculate the prime factors of 2477 and 2485.
Prime Factorization of 2477
2477 | 2477 |
1 |
Prime factors of 2477 are 2477. Prime factorization of 2477 in exponential form is:
2477 = 24771
Prime Factorization of 2485
5 | 2485 |
7 | 497 |
71 | 71 |
1 |
Prime factors of 2485 are 5, 7,71. Prime factorization of 2485 in exponential form is:
2485 = 51×71×711
Now multiplying the highest exponent prime factors to calculate the LCM of 2477 and 2485.
LCM(2477,2485) = 51×71×711×24771
LCM(2477,2485) = 6155345
Factors of 2477
List of positive integer factors of 2477 that divides 2477 without a remainder.
1, 2477
Factors of 2485
List of positive integer factors of 2485 that divides 2485 without a remainder.
1, 5, 7, 35, 71, 355, 497, 2485
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2477 and 2485, than apply into the LCM equation.
GCF(2477,2485) = 1
LCM(2477,2485) = ( 2477 × 2485) / 1
LCM(2477,2485) = 6155345 / 1
LCM(2477,2485) = 6155345
(i) The LCM of 2485 and 2477 is associative
LCM of 2477 and 2485 = LCM of 2485 and 2477
1. What is the LCM of 2477 and 2485?
Answer: LCM of 2477 and 2485 is 6155345.
2. What are the Factors of 2477?
Answer: Factors of 2477 are 1, 2477. There are 2 integers that are factors of 2477. The greatest factor of 2477 is 2477.
3. What are the Factors of 2485?
Answer: Factors of 2485 are 1, 5, 7, 35, 71, 355, 497, 2485. There are 8 integers that are factors of 2485. The greatest factor of 2485 is 2485.
4. How to Find the LCM of 2477 and 2485?
Answer:
Least Common Multiple of 2477 and 2485 = 6155345
Step 1: Find the prime factorization of 2477
2477 = 2477
Step 2: Find the prime factorization of 2485
2485 = 5 x 7 x 71
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 6155345 = 5 x 7 x 71 x 2477
Step 4: Therefore, the least common multiple of 2477 and 2485 is 6155345.