Least Common Multiple (LCM) of 164 and 69
The least common multiple (LCM) of 164 and 69 is 11316.
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 69?
First, calculate the GCD of 164 and 69 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 164 ÷ 69 = 2 remainder 26 |
| 2 | 69 ÷ 26 = 2 remainder 17 |
| 3 | 26 ÷ 17 = 1 remainder 9 |
| 4 | 17 ÷ 9 = 1 remainder 8 |
| 5 | 9 ÷ 8 = 1 remainder 1 |
| 6 | 8 ÷ 1 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 130 and 151 | 19630 |
| 187 and 88 | 1496 |
| 72 and 182 | 6552 |
| 151 and 69 | 10419 |
| 184 and 26 | 2392 |