Least Common Multiple of 609 and 614
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 614 the smallest integer that is 373926 that is divisible by both numbers.
Least Common Multiple (LCM) of 609 and 614 is 373926.
LCM(609,614) = 373926
LCM of 609 and 614
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 609 and 614 by Prime method
- Least Common Multiple of 609 and 614 with GCF Formula
LCM of 609 and 614 is 373926
Least common multiple can be found by multiplying the highest exponent prime factors of 609 and 614. First we will calculate the prime factors of 609 and 614.
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 614
| 2 | 614 |
| 307 | 307 |
| 1 |
Prime factors of 614 are 2,307. Prime factorization of 614 in exponential form is:
614 = 21×3071
Now multiplying the highest exponent prime factors to calculate the LCM of 609 and 614.
LCM(609,614) = 21×31×71×291×3071
LCM(609,614) = 373926
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 614
List of positive integer factors of 614 that divides 614 without a remainder.
1, 2, 307, 614
Least Common Multiple of 609 and 614 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 614, than apply into the LCM equation.
GCF(609,614) = 1
LCM(609,614) = ( 609 × 614) / 1
LCM(609,614) = 373926 / 1
LCM(609,614) = 373926
Properties of LCM 609 and 614
(i) The LCM of 614 and 609 is associative
LCM of 609 and 614 = LCM of 614 and 609
Related Least Common Multiples of 609
Related Least Common Multiples of 614
Frequently Asked Questions on LCM of 609 and 614
1. What is the LCM of 609 and 614?
Answer: LCM of 609 and 614 is 373926.
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 614?
Answer: Factors of 614 are 1, 2, 307, 614. There are 4 integers that are factors of 614. The greatest factor of 614 is 614.
4. How to Find the LCM of 609 and 614?
Answer:
Least Common Multiple of 609 and 614 = 373926
Step 1: Find the prime factorization of 609
609 = 3 x 7 x 29
Step 2: Find the prime factorization of 614
614 = 2 x 307
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 373926 = 2 x 3 x 7 x 29 x 307
Step 4: Therefore, the least common multiple of 609 and 614 is 373926.
