Least Common Multiple of 34229 and 34233
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 34229 and 34233 the smallest integer that is 1171761357 that is divisible by both numbers.
Least Common Multiple (LCM) of 34229 and 34233 is 1171761357.
LCM(34229,34233) = 1171761357
LCM of 34229 and 34233
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 34229 and 34233 by Prime method
- Least Common Multiple of 34229 and 34233 with GCF Formula
LCM of 34229 and 34233 is 1171761357
Least common multiple can be found by multiplying the highest exponent prime factors of 34229 and 34233. First we will calculate the prime factors of 34229 and 34233.
Prime Factorization of 34229
| 13 | 34229 |
| 2633 | 2633 |
| 1 |
Prime factors of 34229 are 13,2633. Prime factorization of 34229 in exponential form is:
34229 = 131×26331
Prime Factorization of 34233
| 3 | 34233 |
| 11411 | 11411 |
| 1 |
Prime factors of 34233 are 3,11411. Prime factorization of 34233 in exponential form is:
34233 = 31×114111
Now multiplying the highest exponent prime factors to calculate the LCM of 34229 and 34233.
LCM(34229,34233) = 31×131×26331×114111
LCM(34229,34233) = 1171761357
Factors of 34229
List of positive integer factors of 34229 that divides 34229 without a remainder.
1, 13, 2633, 34229
Factors of 34233
List of positive integer factors of 34233 that divides 34233 without a remainder.
1, 3, 11411, 34233
Least Common Multiple of 34229 and 34233 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34229 and 34233, than apply into the LCM equation.
GCF(34229,34233) = 1
LCM(34229,34233) = ( 34229 × 34233) / 1
LCM(34229,34233) = 1171761357 / 1
LCM(34229,34233) = 1171761357
Properties of LCM 34229 and 34233
(i) The LCM of 34233 and 34229 is associative
LCM of 34229 and 34233 = LCM of 34233 and 34229
Related Least Common Multiples of 34229
Related Least Common Multiples of 34233
Frequently Asked Questions on LCM of 34229 and 34233
1. What is the LCM of 34229 and 34233?
Answer: LCM of 34229 and 34233 is 1171761357.
2. What are the Factors of 34229?
Answer: Factors of 34229 are 1, 13, 2633, 34229. There are 4 integers that are factors of 34229. The greatest factor of 34229 is 34229.
3. What are the Factors of 34233?
Answer: Factors of 34233 are 1, 3, 11411, 34233. There are 4 integers that are factors of 34233. The greatest factor of 34233 is 34233.
4. How to Find the LCM of 34229 and 34233?
Answer:
Least Common Multiple of 34229 and 34233 = 1171761357
Step 1: Find the prime factorization of 34229
34229 = 13 x 2633
Step 2: Find the prime factorization of 34233
34233 = 3 x 11411
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1171761357 = 3 x 13 x 2633 x 11411
Step 4: Therefore, the least common multiple of 34229 and 34233 is 1171761357.