Least Common Multiple (LCM) of 185 and 134
The least common multiple (LCM) of 185 and 134 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 185 and 134?
First, calculate the GCD of 185 and 134 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 185 ÷ 134 = 1 remainder 51 |
| 2 | 134 ÷ 51 = 2 remainder 32 |
| 3 | 51 ÷ 32 = 1 remainder 19 |
| 4 | 32 ÷ 19 = 1 remainder 13 |
| 5 | 19 ÷ 13 = 1 remainder 6 |
| 6 | 13 ÷ 6 = 2 remainder 1 |
| 7 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 137 and 168 | 23016 |
| 169 and 31 | 5239 |
| 76 and 42 | 1596 |
| 115 and 105 | 2415 |
| 154 and 52 | 4004 |