Least Common Multiple (LCM) of 136 and 162
The least common multiple (LCM) of 136 and 162 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 136 and 162?
First, calculate the GCD of 136 and 162 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 136 ÷ 162 = 0 remainder 136 |
| 2 | 162 ÷ 136 = 1 remainder 26 |
| 3 | 136 ÷ 26 = 5 remainder 6 |
| 4 | 26 ÷ 6 = 4 remainder 2 |
| 5 | 6 ÷ 2 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 110 and 75 | 1650 |
| 92 and 172 | 3956 |
| 119 and 112 | 1904 |
| 191 and 125 | 23875 |
| 108 and 182 | 9828 |