Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1462 and 1468 the smallest integer that is 1073108 that is divisible by both numbers.
Least Common Multiple (LCM) of 1462 and 1468 is 1073108.
LCM(1462,1468) = 1073108
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 1462 and 1468. First we will calculate the prime factors of 1462 and 1468.
Prime Factorization of 1462
2 | 1462 |
17 | 731 |
43 | 43 |
1 |
Prime factors of 1462 are 2, 17,43. Prime factorization of 1462 in exponential form is:
1462 = 21×171×431
Prime Factorization of 1468
2 | 1468 |
2 | 734 |
367 | 367 |
1 |
Prime factors of 1468 are 2,367. Prime factorization of 1468 in exponential form is:
1468 = 22×3671
Now multiplying the highest exponent prime factors to calculate the LCM of 1462 and 1468.
LCM(1462,1468) = 22×171×431×3671
LCM(1462,1468) = 1073108
Factors of 1462
List of positive integer factors of 1462 that divides 1462 without a remainder.
1, 2, 17, 34, 43, 86, 731, 1462
Factors of 1468
List of positive integer factors of 1468 that divides 1468 without a remainder.
1, 2, 4, 367, 734, 1468
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1462 and 1468, than apply into the LCM equation.
GCF(1462,1468) = 2
LCM(1462,1468) = ( 1462 × 1468) / 2
LCM(1462,1468) = 2146216 / 2
LCM(1462,1468) = 1073108
(i) The LCM of 1468 and 1462 is associative
LCM of 1462 and 1468 = LCM of 1468 and 1462
1. What is the LCM of 1462 and 1468?
Answer: LCM of 1462 and 1468 is 1073108.
2. What are the Factors of 1462?
Answer: Factors of 1462 are 1, 2, 17, 34, 43, 86, 731, 1462. There are 8 integers that are factors of 1462. The greatest factor of 1462 is 1462.
3. What are the Factors of 1468?
Answer: Factors of 1468 are 1, 2, 4, 367, 734, 1468. There are 6 integers that are factors of 1468. The greatest factor of 1468 is 1468.
4. How to Find the LCM of 1462 and 1468?
Answer:
Least Common Multiple of 1462 and 1468 = 1073108
Step 1: Find the prime factorization of 1462
1462 = 2 x 17 x 43
Step 2: Find the prime factorization of 1468
1468 = 2 x 2 x 367
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1073108 = 2 x 2 x 17 x 43 x 367
Step 4: Therefore, the least common multiple of 1462 and 1468 is 1073108.