Least Common Multiple of 602 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 602 and 609 the smallest integer that is 52374 that is divisible by both numbers.
Least Common Multiple (LCM) of 602 and 609 is 52374.
LCM(602,609) = 52374
LCM of 602 and 609
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 602 and 609 by Prime method
- Least Common Multiple of 602 and 609 with GCF Formula
LCM of 602 and 609 is 52374
Least common multiple can be found by multiplying the highest exponent prime factors of 602 and 609. First we will calculate the prime factors of 602 and 609.
Prime Factorization of 602
| 2 | 602 |
| 7 | 301 |
| 43 | 43 |
| 1 |
Prime factors of 602 are 2, 7,43. Prime factorization of 602 in exponential form is:
602 = 21×71×431
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 602 and 609.
LCM(602,609) = 21×31×71×291×431
LCM(602,609) = 52374
Factors of 602
List of positive integer factors of 602 that divides 602 without a remainder.
1, 2, 7, 14, 43, 86, 301, 602
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 602 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 602 and 609, than apply into the LCM equation.
GCF(602,609) = 7
LCM(602,609) = ( 602 × 609) / 7
LCM(602,609) = 366618 / 7
LCM(602,609) = 52374
Properties of LCM 602 and 609
(i) The LCM of 609 and 602 is associative
LCM of 602 and 609 = LCM of 609 and 602
Related Least Common Multiples of 602
Related Least Common Multiples of 609
Frequently Asked Questions on LCM of 602 and 609
1. What is the LCM of 602 and 609?
Answer: LCM of 602 and 609 is 52374.
2. What are the Factors of 602?
Answer: Factors of 602 are 1, 2, 7, 14, 43, 86, 301, 602. There are 8 integers that are factors of 602. The greatest factor of 602 is 602.
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 602 and 609?
Answer:
Least Common Multiple of 602 and 609 = 52374
Step 1: Find the prime factorization of 602
602 = 2 x 7 x 43
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 = 52374 = 2 x 3 x 7 x 29 x 43
Step 4: Therefore, the least common multiple of 602 and 609 is 52374.