Least Common Multiple (LCM) of 162 and 137
The least common multiple (LCM) of 162 and 137 is 22194.
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 137?
First, calculate the GCD of 162 and 137 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 162 ÷ 137 = 1 remainder 25 |
| 2 | 137 ÷ 25 = 5 remainder 12 |
| 3 | 25 ÷ 12 = 2 remainder 1 |
| 4 | 12 ÷ 1 = 12 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 127 and 169 | 21463 |
| 174 and 68 | 5916 |
| 136 and 119 | 952 |
| 134 and 145 | 19430 |
| 95 and 31 | 2945 |