Least Common Multiple (LCM) of 134 and 27
The least common multiple (LCM) of 134 and 27 is 3618.
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 27?
First, calculate the GCD of 134 and 27 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 134 ÷ 27 = 4 remainder 26 |
| 2 | 27 ÷ 26 = 1 remainder 1 |
| 3 | 26 ÷ 1 = 26 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 52 and 169 | 676 |
| 149 and 187 | 27863 |
| 114 and 148 | 8436 |
| 91 and 104 | 728 |
| 75 and 187 | 14025 |