Least Common Multiple (LCM) of 164 and 37
The least common multiple (LCM) of 164 and 37 is 6068.
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 37?
First, calculate the GCD of 164 and 37 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 164 ÷ 37 = 4 remainder 16 |
| 2 | 37 ÷ 16 = 2 remainder 5 |
| 3 | 16 ÷ 5 = 3 remainder 1 |
| 4 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 136 and 141 | 19176 |
| 14 and 128 | 896 |
| 189 and 108 | 756 |
| 168 and 159 | 8904 |
| 67 and 185 | 12395 |