Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2480 and 2483 the smallest integer that is 6157840 that is divisible by both numbers.
Least Common Multiple (LCM) of 2480 and 2483 is 6157840.
LCM(2480,2483) = 6157840
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 2480 and 2483. First we will calculate the prime factors of 2480 and 2483.
Prime Factorization of 2480
2 | 2480 |
2 | 1240 |
2 | 620 |
2 | 310 |
5 | 155 |
31 | 31 |
1 |
Prime factors of 2480 are 2, 5,31. Prime factorization of 2480 in exponential form is:
2480 = 24×51×311
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 2480 and 2483.
LCM(2480,2483) = 24×51×131×311×1911
LCM(2480,2483) = 6157840
Factors of 2480
List of positive integer factors of 2480 that divides 2480 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 31, 40, 62, 80, 124, 155, 248, 310, 496, 620, 1240, 2480
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 2480 and 2483, than apply into the LCM equation.
GCF(2480,2483) = 1
LCM(2480,2483) = ( 2480 × 2483) / 1
LCM(2480,2483) = 6157840 / 1
LCM(2480,2483) = 6157840
(i) The LCM of 2483 and 2480 is associative
LCM of 2480 and 2483 = LCM of 2483 and 2480
1. What is the LCM of 2480 and 2483?
Answer: LCM of 2480 and 2483 is 6157840.
2. What are the Factors of 2480?
Answer: Factors of 2480 are 1, 2, 4, 5, 8, 10, 16, 20, 31, 40, 62, 80, 124, 155, 248, 310, 496, 620, 1240, 2480. There are 20 integers that are factors of 2480. The greatest factor of 2480 is 2480.
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 2480 and 2483?
Answer:
Least Common Multiple of 2480 and 2483 = 6157840
Step 1: Find the prime factorization of 2480
2480 = 2 x 2 x 2 x 2 x 5 x 31
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 = 6157840 = 2 x 2 x 2 x 2 x 5 x 13 x 31 x 191
Step 4: Therefore, the least common multiple of 2480 and 2483 is 6157840.