Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2412 and 2413 the smallest integer that is 5820156 that is divisible by both numbers.
Least Common Multiple (LCM) of 2412 and 2413 is 5820156.
LCM(2412,2413) = 5820156
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 2412 and 2413. First we will calculate the prime factors of 2412 and 2413.
Prime Factorization of 2412
2 | 2412 |
2 | 1206 |
3 | 603 |
3 | 201 |
67 | 67 |
1 |
Prime factors of 2412 are 2, 3,67. Prime factorization of 2412 in exponential form is:
2412 = 22×32×671
Prime Factorization of 2413
19 | 2413 |
127 | 127 |
1 |
Prime factors of 2413 are 19,127. Prime factorization of 2413 in exponential form is:
2413 = 191×1271
Now multiplying the highest exponent prime factors to calculate the LCM of 2412 and 2413.
LCM(2412,2413) = 22×32×191×671×1271
LCM(2412,2413) = 5820156
Factors of 2412
List of positive integer factors of 2412 that divides 2412 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 36, 67, 134, 201, 268, 402, 603, 804, 1206, 2412
Factors of 2413
List of positive integer factors of 2413 that divides 2413 without a remainder.
1, 19, 127, 2413
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2412 and 2413, than apply into the LCM equation.
GCF(2412,2413) = 1
LCM(2412,2413) = ( 2412 × 2413) / 1
LCM(2412,2413) = 5820156 / 1
LCM(2412,2413) = 5820156
(i) The LCM of 2413 and 2412 is associative
LCM of 2412 and 2413 = LCM of 2413 and 2412
1. What is the LCM of 2412 and 2413?
Answer: LCM of 2412 and 2413 is 5820156.
2. What are the Factors of 2412?
Answer: Factors of 2412 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 67, 134, 201, 268, 402, 603, 804, 1206, 2412. There are 18 integers that are factors of 2412. The greatest factor of 2412 is 2412.
3. What are the Factors of 2413?
Answer: Factors of 2413 are 1, 19, 127, 2413. There are 4 integers that are factors of 2413. The greatest factor of 2413 is 2413.
4. How to Find the LCM of 2412 and 2413?
Answer:
Least Common Multiple of 2412 and 2413 = 5820156
Step 1: Find the prime factorization of 2412
2412 = 2 x 2 x 3 x 3 x 67
Step 2: Find the prime factorization of 2413
2413 = 19 x 127
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 5820156 = 2 x 2 x 3 x 3 x 19 x 67 x 127
Step 4: Therefore, the least common multiple of 2412 and 2413 is 5820156.