Least Common Multiple (LCM) of 123 and 134
The least common multiple (LCM) of 123 and 134 is 16482.
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 123 and 134?
First, calculate the GCD of 123 and 134 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 123 ÷ 134 = 0 remainder 123 |
| 2 | 134 ÷ 123 = 1 remainder 11 |
| 3 | 123 ÷ 11 = 11 remainder 2 |
| 4 | 11 ÷ 2 = 5 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 116 and 198 | 11484 |
| 14 and 175 | 350 |
| 176 and 136 | 2992 |
| 76 and 20 | 380 |
| 55 and 64 | 3520 |