Least Common Multiple (LCM) of 164 and 136
The least common multiple (LCM) of 164 and 136 is 5576.
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 164 and 136?
First, calculate the GCD of 164 and 136 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 164 ÷ 136 = 1 remainder 28 |
| 2 | 136 ÷ 28 = 4 remainder 24 |
| 3 | 28 ÷ 24 = 1 remainder 4 |
| 4 | 24 ÷ 4 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 129 and 93 | 3999 |
| 37 and 81 | 2997 |
| 83 and 186 | 15438 |
| 30 and 68 | 1020 |
| 156 and 77 | 12012 |