Least Common Multiple of 4179 and 4183
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4179 and 4183 the smallest integer that is 17480757 that is divisible by both numbers.
Least Common Multiple (LCM) of 4179 and 4183 is 17480757.
LCM(4179,4183) = 17480757
LCM of 4179 and 4183
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4179 and 4183 by Prime method
- Least Common Multiple of 4179 and 4183 with GCF Formula
LCM of 4179 and 4183 is 17480757
Least common multiple can be found by multiplying the highest exponent prime factors of 4179 and 4183. First we will calculate the prime factors of 4179 and 4183.
Prime Factorization of 4179
| 3 | 4179 |
| 7 | 1393 |
| 199 | 199 |
| 1 |
Prime factors of 4179 are 3, 7,199. Prime factorization of 4179 in exponential form is:
4179 = 31×71×1991
Prime Factorization of 4183
| 47 | 4183 |
| 89 | 89 |
| 1 |
Prime factors of 4183 are 47,89. Prime factorization of 4183 in exponential form is:
4183 = 471×891
Now multiplying the highest exponent prime factors to calculate the LCM of 4179 and 4183.
LCM(4179,4183) = 31×71×471×891×1991
LCM(4179,4183) = 17480757
Factors of 4179
List of positive integer factors of 4179 that divides 4179 without a remainder.
1, 3, 7, 21, 199, 597, 1393, 4179
Factors of 4183
List of positive integer factors of 4183 that divides 4183 without a remainder.
1, 47, 89, 4183
Least Common Multiple of 4179 and 4183 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4179 and 4183, than apply into the LCM equation.
GCF(4179,4183) = 1
LCM(4179,4183) = ( 4179 × 4183) / 1
LCM(4179,4183) = 17480757 / 1
LCM(4179,4183) = 17480757
Properties of LCM 4179 and 4183
(i) The LCM of 4183 and 4179 is associative
LCM of 4179 and 4183 = LCM of 4183 and 4179
Related Least Common Multiples of 4179
Related Least Common Multiples of 4183
Frequently Asked Questions on LCM of 4179 and 4183
1. What is the LCM of 4179 and 4183?
Answer: LCM of 4179 and 4183 is 17480757.
2. What are the Factors of 4179?
Answer: Factors of 4179 are 1, 3, 7, 21, 199, 597, 1393, 4179. There are 8 integers that are factors of 4179. The greatest factor of 4179 is 4179.
3. What are the Factors of 4183?
Answer: Factors of 4183 are 1, 47, 89, 4183. There are 4 integers that are factors of 4183. The greatest factor of 4183 is 4183.
4. How to Find the LCM of 4179 and 4183?
Answer:
Least Common Multiple of 4179 and 4183 = 17480757
Step 1: Find the prime factorization of 4179
4179 = 3 x 7 x 199
Step 2: Find the prime factorization of 4183
4183 = 47 x 89
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 17480757 = 3 x 7 x 47 x 89 x 199
Step 4: Therefore, the least common multiple of 4179 and 4183 is 17480757.