Least Common Multiple (LCM) of 134 and 164
The least common multiple (LCM) of 134 and 164 is 10988.
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 134 and 164?
First, calculate the GCD of 134 and 164 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 134 ÷ 164 = 0 remainder 134 |
| 2 | 164 ÷ 134 = 1 remainder 30 |
| 3 | 134 ÷ 30 = 4 remainder 14 |
| 4 | 30 ÷ 14 = 2 remainder 2 |
| 5 | 14 ÷ 2 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 161 and 177 | 28497 |
| 119 and 187 | 1309 |
| 65 and 86 | 5590 |
| 90 and 170 | 1530 |
| 14 and 142 | 994 |