Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 40155 and 40161 the smallest integer that is 537554985 that is divisible by both numbers.
Least Common Multiple (LCM) of 40155 and 40161 is 537554985.
LCM(40155,40161) = 537554985
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 40155 and 40161. First we will calculate the prime factors of 40155 and 40161.
Prime Factorization of 40155
3 | 40155 |
5 | 13385 |
2677 | 2677 |
1 |
Prime factors of 40155 are 3, 5,2677. Prime factorization of 40155 in exponential form is:
40155 = 31×51×26771
Prime Factorization of 40161
3 | 40161 |
11 | 13387 |
1217 | 1217 |
1 |
Prime factors of 40161 are 3, 11,1217. Prime factorization of 40161 in exponential form is:
40161 = 31×111×12171
Now multiplying the highest exponent prime factors to calculate the LCM of 40155 and 40161.
LCM(40155,40161) = 31×51×111×12171×26771
LCM(40155,40161) = 537554985
Factors of 40155
List of positive integer factors of 40155 that divides 40155 without a remainder.
1, 3, 5, 15, 2677, 8031, 13385, 40155
Factors of 40161
List of positive integer factors of 40161 that divides 40161 without a remainder.
1, 3, 11, 33, 1217, 3651, 13387, 40161
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40155 and 40161, than apply into the LCM equation.
GCF(40155,40161) = 3
LCM(40155,40161) = ( 40155 × 40161) / 3
LCM(40155,40161) = 1612664955 / 3
LCM(40155,40161) = 537554985
(i) The LCM of 40161 and 40155 is associative
LCM of 40155 and 40161 = LCM of 40161 and 40155
1. What is the LCM of 40155 and 40161?
Answer: LCM of 40155 and 40161 is 537554985.
2. What are the Factors of 40155?
Answer: Factors of 40155 are 1, 3, 5, 15, 2677, 8031, 13385, 40155. There are 8 integers that are factors of 40155. The greatest factor of 40155 is 40155.
3. What are the Factors of 40161?
Answer: Factors of 40161 are 1, 3, 11, 33, 1217, 3651, 13387, 40161. There are 8 integers that are factors of 40161. The greatest factor of 40161 is 40161.
4. How to Find the LCM of 40155 and 40161?
Answer:
Least Common Multiple of 40155 and 40161 = 537554985
Step 1: Find the prime factorization of 40155
40155 = 3 x 5 x 2677
Step 2: Find the prime factorization of 40161
40161 = 3 x 11 x 1217
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 537554985 = 3 x 5 x 11 x 1217 x 2677
Step 4: Therefore, the least common multiple of 40155 and 40161 is 537554985.