Least Common Multiple of 609 and 611
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 609 and 611 the smallest integer that is 372099 that is divisible by both numbers.
Least Common Multiple (LCM) of 609 and 611 is 372099.
LCM(609,611) = 372099
LCM of 609 and 611
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 609 and 611 by Prime method
- Least Common Multiple of 609 and 611 with GCF Formula
LCM of 609 and 611 is 372099
Least common multiple can be found by multiplying the highest exponent prime factors of 609 and 611. First we will calculate the prime factors of 609 and 611.
Prime Factorization of 609
| 3 | 609 |
| 7 | 203 |
| 29 | 29 |
| 1 |
Prime factors of 609 are 3, 7,29. Prime factorization of 609 in exponential form is:
609 = 31×71×291
Prime Factorization of 611
| 13 | 611 |
| 47 | 47 |
| 1 |
Prime factors of 611 are 13,47. Prime factorization of 611 in exponential form is:
611 = 131×471
Now multiplying the highest exponent prime factors to calculate the LCM of 609 and 611.
LCM(609,611) = 31×71×131×291×471
LCM(609,611) = 372099
Factors of 609
List of positive integer factors of 609 that divides 609 without a remainder.
1, 3, 7, 21, 29, 87, 203, 609
Factors of 611
List of positive integer factors of 611 that divides 611 without a remainder.
1, 13, 47, 611
Least Common Multiple of 609 and 611 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 609 and 611, than apply into the LCM equation.
GCF(609,611) = 1
LCM(609,611) = ( 609 × 611) / 1
LCM(609,611) = 372099 / 1
LCM(609,611) = 372099
Properties of LCM 609 and 611
(i) The LCM of 611 and 609 is associative
LCM of 609 and 611 = LCM of 611 and 609
Related Least Common Multiples of 609
Related Least Common Multiples of 611
Frequently Asked Questions on LCM of 609 and 611
1. What is the LCM of 609 and 611?
Answer: LCM of 609 and 611 is 372099.
2. What are the Factors of 609?
Answer: Factors of 609 are 1, 3, 7, 21, 29, 87, 203, 609. There are 8 integers that are factors of 609. The greatest factor of 609 is 609.
3. What are the Factors of 611?
Answer: Factors of 611 are 1, 13, 47, 611. There are 4 integers that are factors of 611. The greatest factor of 611 is 611.
4. How to Find the LCM of 609 and 611?
Answer:
Least Common Multiple of 609 and 611 = 372099
Step 1: Find the prime factorization of 609
609 = 3 x 7 x 29
Step 2: Find the prime factorization of 611
611 = 13 x 47
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 372099 = 3 x 7 x 13 x 29 x 47
Step 4: Therefore, the least common multiple of 609 and 611 is 372099.
