Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 40163 and 40168 the smallest integer that is 1613267384 that is divisible by both numbers.
Least Common Multiple (LCM) of 40163 and 40168 is 1613267384.
LCM(40163,40168) = 1613267384
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 40163 and 40168. First we will calculate the prime factors of 40163 and 40168.
Prime Factorization of 40163
40163 | 40163 |
1 |
Prime factors of 40163 are 40163. Prime factorization of 40163 in exponential form is:
40163 = 401631
Prime Factorization of 40168
2 | 40168 |
2 | 20084 |
2 | 10042 |
5021 | 5021 |
1 |
Prime factors of 40168 are 2,5021. Prime factorization of 40168 in exponential form is:
40168 = 23×50211
Now multiplying the highest exponent prime factors to calculate the LCM of 40163 and 40168.
LCM(40163,40168) = 23×50211×401631
LCM(40163,40168) = 1613267384
Factors of 40163
List of positive integer factors of 40163 that divides 40163 without a remainder.
1, 40163
Factors of 40168
List of positive integer factors of 40168 that divides 40168 without a remainder.
1, 2, 4, 8, 5021, 10042, 20084, 40168
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40163 and 40168, than apply into the LCM equation.
GCF(40163,40168) = 1
LCM(40163,40168) = ( 40163 × 40168) / 1
LCM(40163,40168) = 1613267384 / 1
LCM(40163,40168) = 1613267384
(i) The LCM of 40168 and 40163 is associative
LCM of 40163 and 40168 = LCM of 40168 and 40163
1. What is the LCM of 40163 and 40168?
Answer: LCM of 40163 and 40168 is 1613267384.
2. 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.
3. What are the Factors of 40168?
Answer: Factors of 40168 are 1, 2, 4, 8, 5021, 10042, 20084, 40168. There are 8 integers that are factors of 40168. The greatest factor of 40168 is 40168.
4. How to Find the LCM of 40163 and 40168?
Answer:
Least Common Multiple of 40163 and 40168 = 1613267384
Step 1: Find the prime factorization of 40163
40163 = 40163
Step 2: Find the prime factorization of 40168
40168 = 2 x 2 x 2 x 5021
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1613267384 = 2 x 2 x 2 x 5021 x 40163
Step 4: Therefore, the least common multiple of 40163 and 40168 is 1613267384.