Least Common Multiple of 9179 and 9183
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9179 and 9183 the smallest integer that is 84290757 that is divisible by both numbers.
Least Common Multiple (LCM) of 9179 and 9183 is 84290757.
LCM(9179,9183) = 84290757
LCM of 9179 and 9183
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9179 and 9183 by Prime method
- Least Common Multiple of 9179 and 9183 with GCF Formula
LCM of 9179 and 9183 is 84290757
Least common multiple can be found by multiplying the highest exponent prime factors of 9179 and 9183. First we will calculate the prime factors of 9179 and 9183.
Prime Factorization of 9179
| 67 | 9179 |
| 137 | 137 |
| 1 |
Prime factors of 9179 are 67,137. Prime factorization of 9179 in exponential form is:
9179 = 671×1371
Prime Factorization of 9183
| 3 | 9183 |
| 3061 | 3061 |
| 1 |
Prime factors of 9183 are 3,3061. Prime factorization of 9183 in exponential form is:
9183 = 31×30611
Now multiplying the highest exponent prime factors to calculate the LCM of 9179 and 9183.
LCM(9179,9183) = 31×671×1371×30611
LCM(9179,9183) = 84290757
Factors of 9179
List of positive integer factors of 9179 that divides 9179 without a remainder.
1, 67, 137, 9179
Factors of 9183
List of positive integer factors of 9183 that divides 9183 without a remainder.
1, 3, 3061, 9183
Least Common Multiple of 9179 and 9183 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9179 and 9183, than apply into the LCM equation.
GCF(9179,9183) = 1
LCM(9179,9183) = ( 9179 × 9183) / 1
LCM(9179,9183) = 84290757 / 1
LCM(9179,9183) = 84290757
Properties of LCM 9179 and 9183
(i) The LCM of 9183 and 9179 is associative
LCM of 9179 and 9183 = LCM of 9183 and 9179
Related Least Common Multiples of 9179
Related Least Common Multiples of 9183
Frequently Asked Questions on LCM of 9179 and 9183
1. What is the LCM of 9179 and 9183?
Answer: LCM of 9179 and 9183 is 84290757.
2. What are the Factors of 9179?
Answer: Factors of 9179 are 1, 67, 137, 9179. There are 4 integers that are factors of 9179. The greatest factor of 9179 is 9179.
3. What are the Factors of 9183?
Answer: Factors of 9183 are 1, 3, 3061, 9183. There are 4 integers that are factors of 9183. The greatest factor of 9183 is 9183.
4. How to Find the LCM of 9179 and 9183?
Answer:
Least Common Multiple of 9179 and 9183 = 84290757
Step 1: Find the prime factorization of 9179
9179 = 67 x 137
Step 2: Find the prime factorization of 9183
9183 = 3 x 3061
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 84290757 = 3 x 67 x 137 x 3061
Step 4: Therefore, the least common multiple of 9179 and 9183 is 84290757.