Least Common Multiple (LCM) of 134 and 185
The least common multiple (LCM) of 134 and 185 is 24790.
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 185?
First, calculate the GCD of 134 and 185 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 134 ÷ 185 = 0 remainder 134 |
| 2 | 185 ÷ 134 = 1 remainder 51 |
| 3 | 134 ÷ 51 = 2 remainder 32 |
| 4 | 51 ÷ 32 = 1 remainder 19 |
| 5 | 32 ÷ 19 = 1 remainder 13 |
| 6 | 19 ÷ 13 = 1 remainder 6 |
| 7 | 13 ÷ 6 = 2 remainder 1 |
| 8 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 172 and 12 | 516 |
| 29 and 108 | 3132 |
| 188 and 156 | 7332 |
| 127 and 109 | 13843 |
| 76 and 148 | 2812 |