Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2476 and 2481 the smallest integer that is 6142956 that is divisible by both numbers.
Least Common Multiple (LCM) of 2476 and 2481 is 6142956.
LCM(2476,2481) = 6142956
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 2476 and 2481. First we will calculate the prime factors of 2476 and 2481.
Prime Factorization of 2476
2 | 2476 |
2 | 1238 |
619 | 619 |
1 |
Prime factors of 2476 are 2,619. Prime factorization of 2476 in exponential form is:
2476 = 22×6191
Prime Factorization of 2481
3 | 2481 |
827 | 827 |
1 |
Prime factors of 2481 are 3,827. Prime factorization of 2481 in exponential form is:
2481 = 31×8271
Now multiplying the highest exponent prime factors to calculate the LCM of 2476 and 2481.
LCM(2476,2481) = 22×31×6191×8271
LCM(2476,2481) = 6142956
Factors of 2476
List of positive integer factors of 2476 that divides 2476 without a remainder.
1, 2, 4, 619, 1238, 2476
Factors of 2481
List of positive integer factors of 2481 that divides 2481 without a remainder.
1, 3, 827, 2481
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2476 and 2481, than apply into the LCM equation.
GCF(2476,2481) = 1
LCM(2476,2481) = ( 2476 × 2481) / 1
LCM(2476,2481) = 6142956 / 1
LCM(2476,2481) = 6142956
(i) The LCM of 2481 and 2476 is associative
LCM of 2476 and 2481 = LCM of 2481 and 2476
1. What is the LCM of 2476 and 2481?
Answer: LCM of 2476 and 2481 is 6142956.
2. What are the Factors of 2476?
Answer: Factors of 2476 are 1, 2, 4, 619, 1238, 2476. There are 6 integers that are factors of 2476. The greatest factor of 2476 is 2476.
3. What are the Factors of 2481?
Answer: Factors of 2481 are 1, 3, 827, 2481. There are 4 integers that are factors of 2481. The greatest factor of 2481 is 2481.
4. How to Find the LCM of 2476 and 2481?
Answer:
Least Common Multiple of 2476 and 2481 = 6142956
Step 1: Find the prime factorization of 2476
2476 = 2 x 2 x 619
Step 2: Find the prime factorization of 2481
2481 = 3 x 827
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 6142956 = 2 x 2 x 3 x 619 x 827
Step 4: Therefore, the least common multiple of 2476 and 2481 is 6142956.