Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4182 and 4188 the smallest integer that is 2919036 that is divisible by both numbers.
Least Common Multiple (LCM) of 4182 and 4188 is 2919036.
LCM(4182,4188) = 2919036
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 4182 and 4188. First we will calculate the prime factors of 4182 and 4188.
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
Prime Factorization of 4188
2 | 4188 |
2 | 2094 |
3 | 1047 |
349 | 349 |
1 |
Prime factors of 4188 are 2, 3,349. Prime factorization of 4188 in exponential form is:
4188 = 22×31×3491
Now multiplying the highest exponent prime factors to calculate the LCM of 4182 and 4188.
LCM(4182,4188) = 22×31×171×411×3491
LCM(4182,4188) = 2919036
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
Factors of 4188
List of positive integer factors of 4188 that divides 4188 without a remainder.
1, 2, 3, 4, 6, 12, 349, 698, 1047, 1396, 2094, 4188
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4182 and 4188, than apply into the LCM equation.
GCF(4182,4188) = 6
LCM(4182,4188) = ( 4182 × 4188) / 6
LCM(4182,4188) = 17514216 / 6
LCM(4182,4188) = 2919036
(i) The LCM of 4188 and 4182 is associative
LCM of 4182 and 4188 = LCM of 4188 and 4182
1. What is the LCM of 4182 and 4188?
Answer: LCM of 4182 and 4188 is 2919036.
2. 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.
3. What are the Factors of 4188?
Answer: Factors of 4188 are 1, 2, 3, 4, 6, 12, 349, 698, 1047, 1396, 2094, 4188. There are 12 integers that are factors of 4188. The greatest factor of 4188 is 4188.
4. How to Find the LCM of 4182 and 4188?
Answer:
Least Common Multiple of 4182 and 4188 = 2919036
Step 1: Find the prime factorization of 4182
4182 = 2 x 3 x 17 x 41
Step 2: Find the prime factorization of 4188
4188 = 2 x 2 x 3 x 349
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 2919036 = 2 x 2 x 3 x 17 x 41 x 349
Step 4: Therefore, the least common multiple of 4182 and 4188 is 2919036.