Least Common Multiple (LCM) of 107 and 134
The least common multiple (LCM) of 107 and 134 is 14338.
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 107 and 134?
First, calculate the GCD of 107 and 134 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 107 ÷ 134 = 0 remainder 107 |
| 2 | 134 ÷ 107 = 1 remainder 27 |
| 3 | 107 ÷ 27 = 3 remainder 26 |
| 4 | 27 ÷ 26 = 1 remainder 1 |
| 5 | 26 ÷ 1 = 26 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 18 and 177 | 1062 |
| 89 and 180 | 16020 |
| 141 and 100 | 14100 |
| 65 and 151 | 9815 |
| 121 and 108 | 13068 |