Least Common Multiple of 321447 and 321450
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 321447 and 321450 the smallest integer that is 34443046050 that is divisible by both numbers.
Least Common Multiple (LCM) of 321447 and 321450 is 34443046050.
LCM(321447,321450) = 34443046050
LCM of 321447 and 321450
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 321447 and 321450 by Prime method
- Least Common Multiple of 321447 and 321450 with GCF Formula
LCM of 321447 and 321450 is 34443046050
Least common multiple can be found by multiplying the highest exponent prime factors of 321447 and 321450. First we will calculate the prime factors of 321447 and 321450.
Prime Factorization of 321447
| 3 | 321447 |
| 7 | 107149 |
| 15307 | 15307 |
| 1 |
Prime factors of 321447 are 3, 7,15307. Prime factorization of 321447 in exponential form is:
321447 = 31×71×153071
Prime Factorization of 321450
| 2 | 321450 |
| 3 | 160725 |
| 5 | 53575 |
| 5 | 10715 |
| 2143 | 2143 |
| 1 |
Prime factors of 321450 are 2, 3, 5,2143. Prime factorization of 321450 in exponential form is:
321450 = 21×31×52×21431
Now multiplying the highest exponent prime factors to calculate the LCM of 321447 and 321450.
LCM(321447,321450) = 21×31×52×71×21431×153071
LCM(321447,321450) = 34443046050
Factors of 321447
List of positive integer factors of 321447 that divides 321447 without a remainder.
1, 3, 7, 21, 15307, 45921, 107149, 321447
Factors of 321450
List of positive integer factors of 321450 that divides 321450 without a remainder.
1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150, 2143, 4286, 6429, 10715, 12858, 21430, 32145, 53575, 64290, 107150, 160725, 321450
Least Common Multiple of 321447 and 321450 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 321447 and 321450, than apply into the LCM equation.
GCF(321447,321450) = 3
LCM(321447,321450) = ( 321447 × 321450) / 3
LCM(321447,321450) = 103329138150 / 3
LCM(321447,321450) = 34443046050
Properties of LCM 321447 and 321450
(i) The LCM of 321450 and 321447 is associative
LCM of 321447 and 321450 = LCM of 321450 and 321447
Related Least Common Multiples of 321447
Related Least Common Multiples of 321450
Frequently Asked Questions on LCM of 321447 and 321450
1. What is the LCM of 321447 and 321450?
Answer: LCM of 321447 and 321450 is 34443046050.
2. What are the Factors of 321447?
Answer: Factors of 321447 are 1, 3, 7, 21, 15307, 45921, 107149, 321447. There are 8 integers that are factors of 321447. The greatest factor of 321447 is 321447.
3. What are the Factors of 321450?
Answer: Factors of 321450 are 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150, 2143, 4286, 6429, 10715, 12858, 21430, 32145, 53575, 64290, 107150, 160725, 321450. There are 24 integers that are factors of 321450. The greatest factor of 321450 is 321450.
4. How to Find the LCM of 321447 and 321450?
Answer:
Least Common Multiple of 321447 and 321450 = 34443046050
Step 1: Find the prime factorization of 321447
321447 = 3 x 7 x 15307
Step 2: Find the prime factorization of 321450
321450 = 2 x 3 x 5 x 5 x 2143
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 34443046050 = 2 x 3 x 5 x 5 x 7 x 2143 x 15307
Step 4: Therefore, the least common multiple of 321447 and 321450 is 34443046050.