Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4178 and 4182 the smallest integer that is 8736198 that is divisible by both numbers.
Least Common Multiple (LCM) of 4178 and 4182 is 8736198.
LCM(4178,4182) = 8736198
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 4178 and 4182. First we will calculate the prime factors of 4178 and 4182.
Prime Factorization of 4178
2 | 4178 |
2089 | 2089 |
1 |
Prime factors of 4178 are 2,2089. Prime factorization of 4178 in exponential form is:
4178 = 21×20891
Prime Factorization of 4182
2 | 4182 |
3 | 2091 |
17 | 697 |
41 | 41 |
1 |
Prime factors of 4182 are 2, 3, 17,41. Prime factorization of 4182 in exponential form is:
4182 = 21×31×171×411
Now multiplying the highest exponent prime factors to calculate the LCM of 4178 and 4182.
LCM(4178,4182) = 21×31×171×411×20891
LCM(4178,4182) = 8736198
Factors of 4178
List of positive integer factors of 4178 that divides 4178 without a remainder.
1, 2, 2089, 4178
Factors of 4182
List of positive integer factors of 4182 that divides 4182 without a remainder.
1, 2, 3, 6, 17, 34, 41, 51, 82, 102, 123, 246, 697, 1394, 2091, 4182
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4178 and 4182, than apply into the LCM equation.
GCF(4178,4182) = 2
LCM(4178,4182) = ( 4178 × 4182) / 2
LCM(4178,4182) = 17472396 / 2
LCM(4178,4182) = 8736198
(i) The LCM of 4182 and 4178 is associative
LCM of 4178 and 4182 = LCM of 4182 and 4178
1. What is the LCM of 4178 and 4182?
Answer: LCM of 4178 and 4182 is 8736198.
2. What are the Factors of 4178?
Answer: Factors of 4178 are 1, 2, 2089, 4178. There are 4 integers that are factors of 4178. The greatest factor of 4178 is 4178.
3. What are the Factors of 4182?
Answer: Factors of 4182 are 1, 2, 3, 6, 17, 34, 41, 51, 82, 102, 123, 246, 697, 1394, 2091, 4182. There are 16 integers that are factors of 4182. The greatest factor of 4182 is 4182.
4. How to Find the LCM of 4178 and 4182?
Answer:
Least Common Multiple of 4178 and 4182 = 8736198
Step 1: Find the prime factorization of 4178
4178 = 2 x 2089
Step 2: Find the prime factorization of 4182
4182 = 2 x 3 x 17 x 41
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 8736198 = 2 x 3 x 17 x 41 x 2089
Step 4: Therefore, the least common multiple of 4178 and 4182 is 8736198.