Least Common Multiple (LCM) of 162 and 136
The least common multiple (LCM) of 162 and 136 is 11016.
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 136?
First, calculate the GCD of 162 and 136 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 162 ÷ 136 = 1 remainder 26 |
| 2 | 136 ÷ 26 = 5 remainder 6 |
| 3 | 26 ÷ 6 = 4 remainder 2 |
| 4 | 6 ÷ 2 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 164 and 160 | 6560 |
| 119 and 89 | 10591 |
| 73 and 31 | 2263 |
| 180 and 20 | 180 |
| 21 and 19 | 399 |