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 2483 the smallest integer that is 6147908 that is divisible by both numbers.
Least Common Multiple (LCM) of 2476 and 2483 is 6147908.
LCM(2476,2483) = 6147908
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 2483. First we will calculate the prime factors of 2476 and 2483.
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 2483
13 | 2483 |
191 | 191 |
1 |
Prime factors of 2483 are 13,191. Prime factorization of 2483 in exponential form is:
2483 = 131×1911
Now multiplying the highest exponent prime factors to calculate the LCM of 2476 and 2483.
LCM(2476,2483) = 22×131×1911×6191
LCM(2476,2483) = 6147908
Factors of 2476
List of positive integer factors of 2476 that divides 2476 without a remainder.
1, 2, 4, 619, 1238, 2476
Factors of 2483
List of positive integer factors of 2483 that divides 2483 without a remainder.
1, 13, 191, 2483
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2476 and 2483, than apply into the LCM equation.
GCF(2476,2483) = 1
LCM(2476,2483) = ( 2476 × 2483) / 1
LCM(2476,2483) = 6147908 / 1
LCM(2476,2483) = 6147908
(i) The LCM of 2483 and 2476 is associative
LCM of 2476 and 2483 = LCM of 2483 and 2476
1. What is the LCM of 2476 and 2483?
Answer: LCM of 2476 and 2483 is 6147908.
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 2483?
Answer: Factors of 2483 are 1, 13, 191, 2483. There are 4 integers that are factors of 2483. The greatest factor of 2483 is 2483.
4. How to Find the LCM of 2476 and 2483?
Answer:
Least Common Multiple of 2476 and 2483 = 6147908
Step 1: Find the prime factorization of 2476
2476 = 2 x 2 x 619
Step 2: Find the prime factorization of 2483
2483 = 13 x 191
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 6147908 = 2 x 2 x 13 x 191 x 619
Step 4: Therefore, the least common multiple of 2476 and 2483 is 6147908.