Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2461 and 2468 the smallest integer that is 6073748 that is divisible by both numbers.
Least Common Multiple (LCM) of 2461 and 2468 is 6073748.
LCM(2461,2468) = 6073748
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 2461 and 2468. First we will calculate the prime factors of 2461 and 2468.
Prime Factorization of 2461
23 | 2461 |
107 | 107 |
1 |
Prime factors of 2461 are 23,107. Prime factorization of 2461 in exponential form is:
2461 = 231×1071
Prime Factorization of 2468
2 | 2468 |
2 | 1234 |
617 | 617 |
1 |
Prime factors of 2468 are 2,617. Prime factorization of 2468 in exponential form is:
2468 = 22×6171
Now multiplying the highest exponent prime factors to calculate the LCM of 2461 and 2468.
LCM(2461,2468) = 22×231×1071×6171
LCM(2461,2468) = 6073748
Factors of 2461
List of positive integer factors of 2461 that divides 2461 without a remainder.
1, 23, 107, 2461
Factors of 2468
List of positive integer factors of 2468 that divides 2468 without a remainder.
1, 2, 4, 617, 1234, 2468
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2461 and 2468, than apply into the LCM equation.
GCF(2461,2468) = 1
LCM(2461,2468) = ( 2461 × 2468) / 1
LCM(2461,2468) = 6073748 / 1
LCM(2461,2468) = 6073748
(i) The LCM of 2468 and 2461 is associative
LCM of 2461 and 2468 = LCM of 2468 and 2461
1. What is the LCM of 2461 and 2468?
Answer: LCM of 2461 and 2468 is 6073748.
2. What are the Factors of 2461?
Answer: Factors of 2461 are 1, 23, 107, 2461. There are 4 integers that are factors of 2461. The greatest factor of 2461 is 2461.
3. What are the Factors of 2468?
Answer: Factors of 2468 are 1, 2, 4, 617, 1234, 2468. There are 6 integers that are factors of 2468. The greatest factor of 2468 is 2468.
4. How to Find the LCM of 2461 and 2468?
Answer:
Least Common Multiple of 2461 and 2468 = 6073748
Step 1: Find the prime factorization of 2461
2461 = 23 x 107
Step 2: Find the prime factorization of 2468
2468 = 2 x 2 x 617
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 6073748 = 2 x 2 x 23 x 107 x 617
Step 4: Therefore, the least common multiple of 2461 and 2468 is 6073748.