Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9162 and 9170 the smallest integer that is 42007770 that is divisible by both numbers.
Least Common Multiple (LCM) of 9162 and 9170 is 42007770.
LCM(9162,9170) = 42007770
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 9162 and 9170. First we will calculate the prime factors of 9162 and 9170.
Prime Factorization of 9162
2 | 9162 |
3 | 4581 |
3 | 1527 |
509 | 509 |
1 |
Prime factors of 9162 are 2, 3,509. Prime factorization of 9162 in exponential form is:
9162 = 21×32×5091
Prime Factorization of 9170
2 | 9170 |
5 | 4585 |
7 | 917 |
131 | 131 |
1 |
Prime factors of 9170 are 2, 5, 7,131. Prime factorization of 9170 in exponential form is:
9170 = 21×51×71×1311
Now multiplying the highest exponent prime factors to calculate the LCM of 9162 and 9170.
LCM(9162,9170) = 21×32×51×71×1311×5091
LCM(9162,9170) = 42007770
Factors of 9162
List of positive integer factors of 9162 that divides 9162 without a remainder.
1, 2, 3, 6, 9, 18, 509, 1018, 1527, 3054, 4581, 9162
Factors of 9170
List of positive integer factors of 9170 that divides 9170 without a remainder.
1, 2, 5, 7, 10, 14, 35, 70, 131, 262, 655, 917, 1310, 1834, 4585, 9170
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9162 and 9170, than apply into the LCM equation.
GCF(9162,9170) = 2
LCM(9162,9170) = ( 9162 × 9170) / 2
LCM(9162,9170) = 84015540 / 2
LCM(9162,9170) = 42007770
(i) The LCM of 9170 and 9162 is associative
LCM of 9162 and 9170 = LCM of 9170 and 9162
1. What is the LCM of 9162 and 9170?
Answer: LCM of 9162 and 9170 is 42007770.
2. What are the Factors of 9162?
Answer: Factors of 9162 are 1, 2, 3, 6, 9, 18, 509, 1018, 1527, 3054, 4581, 9162. There are 12 integers that are factors of 9162. The greatest factor of 9162 is 9162.
3. What are the Factors of 9170?
Answer: Factors of 9170 are 1, 2, 5, 7, 10, 14, 35, 70, 131, 262, 655, 917, 1310, 1834, 4585, 9170. There are 16 integers that are factors of 9170. The greatest factor of 9170 is 9170.
4. How to Find the LCM of 9162 and 9170?
Answer:
Least Common Multiple of 9162 and 9170 = 42007770
Step 1: Find the prime factorization of 9162
9162 = 2 x 3 x 3 x 509
Step 2: Find the prime factorization of 9170
9170 = 2 x 5 x 7 x 131
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 42007770 = 2 x 3 x 3 x 5 x 7 x 131 x 509
Step 4: Therefore, the least common multiple of 9162 and 9170 is 42007770.