Least Common Multiple (LCM) of 169 and 134
The least common multiple (LCM) of 169 and 134 is 22646.
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 169 and 134?
First, calculate the GCD of 169 and 134 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 169 ÷ 134 = 1 remainder 35 |
| 2 | 134 ÷ 35 = 3 remainder 29 |
| 3 | 35 ÷ 29 = 1 remainder 6 |
| 4 | 29 ÷ 6 = 4 remainder 5 |
| 5 | 6 ÷ 5 = 1 remainder 1 |
| 6 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 65 and 129 | 8385 |
| 72 and 125 | 9000 |
| 154 and 98 | 1078 |
| 133 and 10 | 1330 |
| 135 and 152 | 20520 |