Least Common Multiple (LCM) of 134 and 85
The least common multiple (LCM) of 134 and 85 is 11390.
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 85?
First, calculate the GCD of 134 and 85 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 134 ÷ 85 = 1 remainder 49 |
| 2 | 85 ÷ 49 = 1 remainder 36 |
| 3 | 49 ÷ 36 = 1 remainder 13 |
| 4 | 36 ÷ 13 = 2 remainder 10 |
| 5 | 13 ÷ 10 = 1 remainder 3 |
| 6 | 10 ÷ 3 = 3 remainder 1 |
| 7 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 107 and 177 | 18939 |
| 19 and 23 | 437 |
| 120 and 169 | 20280 |
| 134 and 69 | 9246 |
| 88 and 14 | 616 |