Least Common Multiple (LCM) of 181 and 162
The least common multiple (LCM) of 181 and 162 is 29322.
What is the Least Common Multiple (LCM)?
The LCM of two integers is the smallest positive integer that is divisible by both numbers. It is often used to find common denominators and solve problems involving periodic events.
Formula for LCM
The LCM of two numbers can be calculated using their GCD:
LCM(a, b) = |a × b| ÷ GCD(a, b)
How to Calculate the LCM of 181 and 162?
First, calculate the GCD of 181 and 162 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 181 ÷ 162 = 1 remainder 19 |
| 2 | 162 ÷ 19 = 8 remainder 10 |
| 3 | 19 ÷ 10 = 1 remainder 9 |
| 4 | 10 ÷ 9 = 1 remainder 1 |
| 5 | 9 ÷ 1 = 9 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 100 and 184 | 4600 |
| 142 and 63 | 8946 |
| 115 and 80 | 1840 |
| 162 and 102 | 2754 |
| 169 and 77 | 13013 |