Least Common Multiple (LCM) of 121 and 162
The least common multiple (LCM) of 121 and 162 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 121 and 162?
First, calculate the GCD of 121 and 162 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 121 ÷ 162 = 0 remainder 121 |
| 2 | 162 ÷ 121 = 1 remainder 41 |
| 3 | 121 ÷ 41 = 2 remainder 39 |
| 4 | 41 ÷ 39 = 1 remainder 2 |
| 5 | 39 ÷ 2 = 19 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 162 and 152 | 12312 |
| 46 and 24 | 552 |
| 52 and 47 | 2444 |
| 126 and 79 | 9954 |
| 36 and 112 | 1008 |