Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1415 and 1423 the smallest integer that is 2013545 that is divisible by both numbers.
Least Common Multiple (LCM) of 1415 and 1423 is 2013545.
LCM(1415,1423) = 2013545
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 1415 and 1423. First we will calculate the prime factors of 1415 and 1423.
Prime Factorization of 1415
5 | 1415 |
283 | 283 |
1 |
Prime factors of 1415 are 5,283. Prime factorization of 1415 in exponential form is:
1415 = 51×2831
Prime Factorization of 1423
1423 | 1423 |
1 |
Prime factors of 1423 are 1423. Prime factorization of 1423 in exponential form is:
1423 = 14231
Now multiplying the highest exponent prime factors to calculate the LCM of 1415 and 1423.
LCM(1415,1423) = 51×2831×14231
LCM(1415,1423) = 2013545
Factors of 1415
List of positive integer factors of 1415 that divides 1415 without a remainder.
1, 5, 283, 1415
Factors of 1423
List of positive integer factors of 1423 that divides 1423 without a remainder.
1, 1423
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1415 and 1423, than apply into the LCM equation.
GCF(1415,1423) = 1
LCM(1415,1423) = ( 1415 × 1423) / 1
LCM(1415,1423) = 2013545 / 1
LCM(1415,1423) = 2013545
(i) The LCM of 1423 and 1415 is associative
LCM of 1415 and 1423 = LCM of 1423 and 1415
1. What is the LCM of 1415 and 1423?
Answer: LCM of 1415 and 1423 is 2013545.
2. What are the Factors of 1415?
Answer: Factors of 1415 are 1, 5, 283, 1415. There are 4 integers that are factors of 1415. The greatest factor of 1415 is 1415.
3. What are the Factors of 1423?
Answer: Factors of 1423 are 1, 1423. There are 2 integers that are factors of 1423. The greatest factor of 1423 is 1423.
4. How to Find the LCM of 1415 and 1423?
Answer:
Least Common Multiple of 1415 and 1423 = 2013545
Step 1: Find the prime factorization of 1415
1415 = 5 x 283
Step 2: Find the prime factorization of 1423
1423 = 1423
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 2013545 = 5 x 283 x 1423
Step 4: Therefore, the least common multiple of 1415 and 1423 is 2013545.