Least Common Multiple (LCM) of 163 and 136
The least common multiple (LCM) of 163 and 136 is 22168.
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 163 and 136?
First, calculate the GCD of 163 and 136 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 163 ÷ 136 = 1 remainder 27 |
| 2 | 136 ÷ 27 = 5 remainder 1 |
| 3 | 27 ÷ 1 = 27 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 83 and 34 | 2822 |
| 119 and 156 | 18564 |
| 127 and 24 | 3048 |
| 68 and 32 | 544 |
| 37 and 72 | 2664 |