Least Common Multiple of 321445 and 321453
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 321445 and 321453 the smallest integer that is 103329459585 that is divisible by both numbers.
Least Common Multiple (LCM) of 321445 and 321453 is 103329459585.
LCM(321445,321453) = 103329459585
LCM of 321445 and 321453
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 321445 and 321453 by Prime method
- Least Common Multiple of 321445 and 321453 with GCF Formula
LCM of 321445 and 321453 is 103329459585
Least common multiple can be found by multiplying the highest exponent prime factors of 321445 and 321453. First we will calculate the prime factors of 321445 and 321453.
Prime Factorization of 321445
| 5 | 321445 |
| 53 | 64289 |
| 1213 | 1213 |
| 1 |
Prime factors of 321445 are 5, 53,1213. Prime factorization of 321445 in exponential form is:
321445 = 51×531×12131
Prime Factorization of 321453
| 3 | 321453 |
| 3 | 107151 |
| 11 | 35717 |
| 17 | 3247 |
| 191 | 191 |
| 1 |
Prime factors of 321453 are 3, 11, 17,191. Prime factorization of 321453 in exponential form is:
321453 = 32×111×171×1911
Now multiplying the highest exponent prime factors to calculate the LCM of 321445 and 321453.
LCM(321445,321453) = 32×51×111×171×531×1911×12131
LCM(321445,321453) = 103329459585
Factors of 321445
List of positive integer factors of 321445 that divides 321445 without a remainder.
1, 5, 53, 265, 1213, 6065, 64289, 321445
Factors of 321453
List of positive integer factors of 321453 that divides 321453 without a remainder.
1, 3, 9, 11, 17, 33, 51, 99, 153, 187, 191, 561, 573, 1683, 1719, 2101, 3247, 6303, 9741, 18909, 29223, 35717, 107151, 321453
Least Common Multiple of 321445 and 321453 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 321445 and 321453, than apply into the LCM equation.
GCF(321445,321453) = 1
LCM(321445,321453) = ( 321445 × 321453) / 1
LCM(321445,321453) = 103329459585 / 1
LCM(321445,321453) = 103329459585
Properties of LCM 321445 and 321453
(i) The LCM of 321453 and 321445 is associative
LCM of 321445 and 321453 = LCM of 321453 and 321445
Related Least Common Multiples of 321445
Related Least Common Multiples of 321453
Frequently Asked Questions on LCM of 321445 and 321453
1. What is the LCM of 321445 and 321453?
Answer: LCM of 321445 and 321453 is 103329459585.
2. What are the Factors of 321445?
Answer: Factors of 321445 are 1, 5, 53, 265, 1213, 6065, 64289, 321445. There are 8 integers that are factors of 321445. The greatest factor of 321445 is 321445.
3. What are the Factors of 321453?
Answer: Factors of 321453 are 1, 3, 9, 11, 17, 33, 51, 99, 153, 187, 191, 561, 573, 1683, 1719, 2101, 3247, 6303, 9741, 18909, 29223, 35717, 107151, 321453. There are 24 integers that are factors of 321453. The greatest factor of 321453 is 321453.
4. How to Find the LCM of 321445 and 321453?
Answer:
Least Common Multiple of 321445 and 321453 = 103329459585
Step 1: Find the prime factorization of 321445
321445 = 5 x 53 x 1213
Step 2: Find the prime factorization of 321453
321453 = 3 x 3 x 11 x 17 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 = 103329459585 = 3 x 3 x 5 x 11 x 17 x 53 x 191 x 1213
Step 4: Therefore, the least common multiple of 321445 and 321453 is 103329459585.