Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 665 and 669 the smallest integer that is 444885 that is divisible by both numbers.
Least Common Multiple (LCM) of 665 and 669 is 444885.
LCM(665,669) = 444885
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 665 and 669. First we will calculate the prime factors of 665 and 669.
Prime Factorization of 665
5 | 665 |
7 | 133 |
19 | 19 |
1 |
Prime factors of 665 are 5, 7,19. Prime factorization of 665 in exponential form is:
665 = 51×71×191
Prime Factorization of 669
3 | 669 |
223 | 223 |
1 |
Prime factors of 669 are 3,223. Prime factorization of 669 in exponential form is:
669 = 31×2231
Now multiplying the highest exponent prime factors to calculate the LCM of 665 and 669.
LCM(665,669) = 31×51×71×191×2231
LCM(665,669) = 444885
Factors of 665
List of positive integer factors of 665 that divides 665 without a remainder.
1, 5, 7, 19, 35, 95, 133, 665
Factors of 669
List of positive integer factors of 669 that divides 669 without a remainder.
1, 3, 223, 669
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 665 and 669, than apply into the LCM equation.
GCF(665,669) = 1
LCM(665,669) = ( 665 × 669) / 1
LCM(665,669) = 444885 / 1
LCM(665,669) = 444885
(i) The LCM of 669 and 665 is associative
LCM of 665 and 669 = LCM of 669 and 665
1. What is the LCM of 665 and 669?
Answer: LCM of 665 and 669 is 444885.
2. What are the Factors of 665?
Answer: Factors of 665 are 1, 5, 7, 19, 35, 95, 133, 665. There are 8 integers that are factors of 665. The greatest factor of 665 is 665.
3. What are the Factors of 669?
Answer: Factors of 669 are 1, 3, 223, 669. There are 4 integers that are factors of 669. The greatest factor of 669 is 669.
4. How to Find the LCM of 665 and 669?
Answer:
Least Common Multiple of 665 and 669 = 444885
Step 1: Find the prime factorization of 665
665 = 5 x 7 x 19
Step 2: Find the prime factorization of 669
669 = 3 x 223
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 444885 = 3 x 5 x 7 x 19 x 223
Step 4: Therefore, the least common multiple of 665 and 669 is 444885.