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 40163 the smallest integer that is 1612745265 that is divisible by both numbers.
Least Common Multiple (LCM) of 40155 and 40163 is 1612745265.
LCM(40155,40163) = 1612745265
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 40163. First we will calculate the prime factors of 40155 and 40163.
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 40163
40163 | 40163 |
1 |
Prime factors of 40163 are 40163. Prime factorization of 40163 in exponential form is:
40163 = 401631
Now multiplying the highest exponent prime factors to calculate the LCM of 40155 and 40163.
LCM(40155,40163) = 31×51×26771×401631
LCM(40155,40163) = 1612745265
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 40163
List of positive integer factors of 40163 that divides 40163 without a remainder.
1, 40163
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40155 and 40163, than apply into the LCM equation.
GCF(40155,40163) = 1
LCM(40155,40163) = ( 40155 × 40163) / 1
LCM(40155,40163) = 1612745265 / 1
LCM(40155,40163) = 1612745265
(i) The LCM of 40163 and 40155 is associative
LCM of 40155 and 40163 = LCM of 40163 and 40155
1. What is the LCM of 40155 and 40163?
Answer: LCM of 40155 and 40163 is 1612745265.
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 40163?
Answer: Factors of 40163 are 1, 40163. There are 2 integers that are factors of 40163. The greatest factor of 40163 is 40163.
4. How to Find the LCM of 40155 and 40163?
Answer:
Least Common Multiple of 40155 and 40163 = 1612745265
Step 1: Find the prime factorization of 40155
40155 = 3 x 5 x 2677
Step 2: Find the prime factorization of 40163
40163 = 40163
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1612745265 = 3 x 5 x 2677 x 40163
Step 4: Therefore, the least common multiple of 40155 and 40163 is 1612745265.