Least Common Multiple (LCM) of 134 and 103
The least common multiple (LCM) of 134 and 103 is 13802.
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 103?
First, calculate the GCD of 134 and 103 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 134 ÷ 103 = 1 remainder 31 |
| 2 | 103 ÷ 31 = 3 remainder 10 |
| 3 | 31 ÷ 10 = 3 remainder 1 |
| 4 | 10 ÷ 1 = 10 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 118 and 177 | 354 |
| 175 and 197 | 34475 |
| 188 and 193 | 36284 |
| 80 and 107 | 8560 |
| 121 and 84 | 10164 |