Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9666 and 9670 the smallest integer that is 46735110 that is divisible by both numbers.
Least Common Multiple (LCM) of 9666 and 9670 is 46735110.
LCM(9666,9670) = 46735110
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 9666 and 9670. First we will calculate the prime factors of 9666 and 9670.
Prime Factorization of 9666
2 | 9666 |
3 | 4833 |
3 | 1611 |
3 | 537 |
179 | 179 |
1 |
Prime factors of 9666 are 2, 3,179. Prime factorization of 9666 in exponential form is:
9666 = 21×33×1791
Prime Factorization of 9670
2 | 9670 |
5 | 4835 |
967 | 967 |
1 |
Prime factors of 9670 are 2, 5,967. Prime factorization of 9670 in exponential form is:
9670 = 21×51×9671
Now multiplying the highest exponent prime factors to calculate the LCM of 9666 and 9670.
LCM(9666,9670) = 21×33×51×1791×9671
LCM(9666,9670) = 46735110
Factors of 9666
List of positive integer factors of 9666 that divides 9666 without a remainder.
1, 2, 3, 6, 9, 18, 27, 54, 179, 358, 537, 1074, 1611, 3222, 4833, 9666
Factors of 9670
List of positive integer factors of 9670 that divides 9670 without a remainder.
1, 2, 5, 10, 967, 1934, 4835, 9670
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9666 and 9670, than apply into the LCM equation.
GCF(9666,9670) = 2
LCM(9666,9670) = ( 9666 × 9670) / 2
LCM(9666,9670) = 93470220 / 2
LCM(9666,9670) = 46735110
(i) The LCM of 9670 and 9666 is associative
LCM of 9666 and 9670 = LCM of 9670 and 9666
1. What is the LCM of 9666 and 9670?
Answer: LCM of 9666 and 9670 is 46735110.
2. What are the Factors of 9666?
Answer: Factors of 9666 are 1, 2, 3, 6, 9, 18, 27, 54, 179, 358, 537, 1074, 1611, 3222, 4833, 9666. There are 16 integers that are factors of 9666. The greatest factor of 9666 is 9666.
3. What are the Factors of 9670?
Answer: Factors of 9670 are 1, 2, 5, 10, 967, 1934, 4835, 9670. There are 8 integers that are factors of 9670. The greatest factor of 9670 is 9670.
4. How to Find the LCM of 9666 and 9670?
Answer:
Least Common Multiple of 9666 and 9670 = 46735110
Step 1: Find the prime factorization of 9666
9666 = 2 x 3 x 3 x 3 x 179
Step 2: Find the prime factorization of 9670
9670 = 2 x 5 x 967
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 46735110 = 2 x 3 x 3 x 3 x 5 x 179 x 967
Step 4: Therefore, the least common multiple of 9666 and 9670 is 46735110.