Least Common Multiple of 606 and 609
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 606 and 609 the smallest integer that is 123018 that is divisible by both numbers.
Least Common Multiple (LCM) of 606 and 609 is 123018.
LCM(606,609) = 123018
LCM of 606 and 609
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 606 and 609 by Prime method
- Least Common Multiple of 606 and 609 with GCF Formula
LCM of 606 and 609 is 123018
Least common multiple can be found by multiplying the highest exponent prime factors of 606 and 609. First we will calculate the prime factors of 606 and 609.
Prime Factorization of 606
| 2 | 606 |
| 3 | 303 |
| 101 | 101 |
| 1 |
Prime factors of 606 are 2, 3,101. Prime factorization of 606 in exponential form is:
606 = 21×31×1011
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
Now multiplying the highest exponent prime factors to calculate the LCM of 606 and 609.
LCM(606,609) = 21×31×71×291×1011
LCM(606,609) = 123018
Factors of 606
List of positive integer factors of 606 that divides 606 without a remainder.
1, 2, 3, 6, 101, 202, 303, 606
Factors of 609
List of positive integer factors of 609 that divides 609 without a remainder.
1, 3, 7, 21, 29, 87, 203, 609
Least Common Multiple of 606 and 609 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 606 and 609, than apply into the LCM equation.
GCF(606,609) = 3
LCM(606,609) = ( 606 × 609) / 3
LCM(606,609) = 369054 / 3
LCM(606,609) = 123018
Properties of LCM 606 and 609
(i) The LCM of 609 and 606 is associative
LCM of 606 and 609 = LCM of 609 and 606
Related Least Common Multiples of 606
Related Least Common Multiples of 609
Frequently Asked Questions on LCM of 606 and 609
1. What is the LCM of 606 and 609?
Answer: LCM of 606 and 609 is 123018.
2. What are the Factors of 606?
Answer: Factors of 606 are 1, 2, 3, 6, 101, 202, 303, 606. There are 8 integers that are factors of 606. The greatest factor of 606 is 606.
3. 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.
4. How to Find the LCM of 606 and 609?
Answer:
Least Common Multiple of 606 and 609 = 123018
Step 1: Find the prime factorization of 606
606 = 2 x 3 x 101
Step 2: Find the prime factorization of 609
609 = 3 x 7 x 29
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 123018 = 2 x 3 x 7 x 29 x 101
Step 4: Therefore, the least common multiple of 606 and 609 is 123018.