Least Common Multiple (LCM) of 134 and 187
The least common multiple (LCM) of 134 and 187 is 25058.
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 187?
First, calculate the GCD of 134 and 187 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 134 ÷ 187 = 0 remainder 134 |
| 2 | 187 ÷ 134 = 1 remainder 53 |
| 3 | 134 ÷ 53 = 2 remainder 28 |
| 4 | 53 ÷ 28 = 1 remainder 25 |
| 5 | 28 ÷ 25 = 1 remainder 3 |
| 6 | 25 ÷ 3 = 8 remainder 1 |
| 7 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 70 and 31 | 2170 |
| 192 and 176 | 2112 |
| 125 and 62 | 7750 |
| 161 and 46 | 322 |
| 112 and 94 | 5264 |