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 |
|---|---|
| 123 and 25 | 3075 |
| 61 and 196 | 11956 |
| 122 and 115 | 14030 |
| 186 and 95 | 17670 |
| 152 and 34 | 2584 |