Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 40177 and 40182 the smallest integer that is 1614392214 that is divisible by both numbers.
Least Common Multiple (LCM) of 40177 and 40182 is 1614392214.
LCM(40177,40182) = 1614392214
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 40177 and 40182. First we will calculate the prime factors of 40177 and 40182.
Prime Factorization of 40177
40177 | 40177 |
1 |
Prime factors of 40177 are 40177. Prime factorization of 40177 in exponential form is:
40177 = 401771
Prime Factorization of 40182
2 | 40182 |
3 | 20091 |
37 | 6697 |
181 | 181 |
1 |
Prime factors of 40182 are 2, 3, 37,181. Prime factorization of 40182 in exponential form is:
40182 = 21×31×371×1811
Now multiplying the highest exponent prime factors to calculate the LCM of 40177 and 40182.
LCM(40177,40182) = 21×31×371×1811×401771
LCM(40177,40182) = 1614392214
Factors of 40177
List of positive integer factors of 40177 that divides 40177 without a remainder.
1, 40177
Factors of 40182
List of positive integer factors of 40182 that divides 40182 without a remainder.
1, 2, 3, 6, 37, 74, 111, 181, 222, 362, 543, 1086, 6697, 13394, 20091, 40182
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40177 and 40182, than apply into the LCM equation.
GCF(40177,40182) = 1
LCM(40177,40182) = ( 40177 × 40182) / 1
LCM(40177,40182) = 1614392214 / 1
LCM(40177,40182) = 1614392214
(i) The LCM of 40182 and 40177 is associative
LCM of 40177 and 40182 = LCM of 40182 and 40177
1. What is the LCM of 40177 and 40182?
Answer: LCM of 40177 and 40182 is 1614392214.
2. What are the Factors of 40177?
Answer: Factors of 40177 are 1, 40177. There are 2 integers that are factors of 40177. The greatest factor of 40177 is 40177.
3. What are the Factors of 40182?
Answer: Factors of 40182 are 1, 2, 3, 6, 37, 74, 111, 181, 222, 362, 543, 1086, 6697, 13394, 20091, 40182. There are 16 integers that are factors of 40182. The greatest factor of 40182 is 40182.
4. How to Find the LCM of 40177 and 40182?
Answer:
Least Common Multiple of 40177 and 40182 = 1614392214
Step 1: Find the prime factorization of 40177
40177 = 40177
Step 2: Find the prime factorization of 40182
40182 = 2 x 3 x 37 x 181
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1614392214 = 2 x 3 x 37 x 181 x 40177
Step 4: Therefore, the least common multiple of 40177 and 40182 is 1614392214.