Least Common Multiple (LCM) of 134 and 169
The least common multiple (LCM) of 134 and 169 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 134 and 169?
First, calculate the GCD of 134 and 169 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 134 ÷ 169 = 0 remainder 134 |
| 2 | 169 ÷ 134 = 1 remainder 35 |
| 3 | 134 ÷ 35 = 3 remainder 29 |
| 4 | 35 ÷ 29 = 1 remainder 6 |
| 5 | 29 ÷ 6 = 4 remainder 5 |
| 6 | 6 ÷ 5 = 1 remainder 1 |
| 7 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 116 and 128 | 3712 |
| 76 and 93 | 7068 |
| 105 and 159 | 5565 |
| 158 and 195 | 30810 |
| 77 and 86 | 6622 |