Least Common Multiple (LCM) of 134 and 114
The least common multiple (LCM) of 134 and 114 is 7638.
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 114?
First, calculate the GCD of 134 and 114 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 134 ÷ 114 = 1 remainder 20 |
| 2 | 114 ÷ 20 = 5 remainder 14 |
| 3 | 20 ÷ 14 = 1 remainder 6 |
| 4 | 14 ÷ 6 = 2 remainder 2 |
| 5 | 6 ÷ 2 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 81 and 38 | 3078 |
| 30 and 29 | 870 |
| 188 and 93 | 17484 |
| 179 and 41 | 7339 |
| 120 and 179 | 21480 |