Least Common Multiple of 321473 and 321481
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 321473 and 321481 the smallest integer that is 103347461513 that is divisible by both numbers.
Least Common Multiple (LCM) of 321473 and 321481 is 103347461513.
LCM(321473,321481) = 103347461513
LCM of 321473 and 321481
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 321473 and 321481 by Prime method
- Least Common Multiple of 321473 and 321481 with GCF Formula
LCM of 321473 and 321481 is 103347461513
Least common multiple can be found by multiplying the highest exponent prime factors of 321473 and 321481. First we will calculate the prime factors of 321473 and 321481.
Prime Factorization of 321473
| 563 | 321473 |
| 571 | 571 |
| 1 |
Prime factors of 321473 are 563,571. Prime factorization of 321473 in exponential form is:
321473 = 5631×5711
Prime Factorization of 321481
| 41 | 321481 |
| 7841 | 7841 |
| 1 |
Prime factors of 321481 are 41,7841. Prime factorization of 321481 in exponential form is:
321481 = 411×78411
Now multiplying the highest exponent prime factors to calculate the LCM of 321473 and 321481.
LCM(321473,321481) = 411×5631×5711×78411
LCM(321473,321481) = 103347461513
Factors of 321473
List of positive integer factors of 321473 that divides 321473 without a remainder.
1, 563, 571, 321473
Factors of 321481
List of positive integer factors of 321481 that divides 321481 without a remainder.
1, 41, 7841, 321481
Least Common Multiple of 321473 and 321481 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 321473 and 321481, than apply into the LCM equation.
GCF(321473,321481) = 1
LCM(321473,321481) = ( 321473 × 321481) / 1
LCM(321473,321481) = 103347461513 / 1
LCM(321473,321481) = 103347461513
Properties of LCM 321473 and 321481
(i) The LCM of 321481 and 321473 is associative
LCM of 321473 and 321481 = LCM of 321481 and 321473
Related Least Common Multiples of 321473
Related Least Common Multiples of 321481
Frequently Asked Questions on LCM of 321473 and 321481
1. What is the LCM of 321473 and 321481?
Answer: LCM of 321473 and 321481 is 103347461513.
2. What are the Factors of 321473?
Answer: Factors of 321473 are 1, 563, 571, 321473. There are 4 integers that are factors of 321473. The greatest factor of 321473 is 321473.
3. What are the Factors of 321481?
Answer: Factors of 321481 are 1, 41, 7841, 321481. There are 4 integers that are factors of 321481. The greatest factor of 321481 is 321481.
4. How to Find the LCM of 321473 and 321481?
Answer:
Least Common Multiple of 321473 and 321481 = 103347461513
Step 1: Find the prime factorization of 321473
321473 = 563 x 571
Step 2: Find the prime factorization of 321481
321481 = 41 x 7841
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 103347461513 = 41 x 563 x 571 x 7841
Step 4: Therefore, the least common multiple of 321473 and 321481 is 103347461513.