Least Common Multiple (LCM) of 162 and 121
The least common multiple (LCM) of 162 and 121 is 19602.
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 162 and 121?
First, calculate the GCD of 162 and 121 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 162 ÷ 121 = 1 remainder 41 |
| 2 | 121 ÷ 41 = 2 remainder 39 |
| 3 | 41 ÷ 39 = 1 remainder 2 |
| 4 | 39 ÷ 2 = 19 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 110 and 164 | 9020 |
| 160 and 32 | 160 |
| 17 and 117 | 1989 |
| 114 and 78 | 1482 |
| 174 and 150 | 4350 |