Least Common Multiple (LCM) of 134 and 118
The least common multiple (LCM) of 134 and 118 is 7906.
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 118?
First, calculate the GCD of 134 and 118 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 134 ÷ 118 = 1 remainder 16 |
| 2 | 118 ÷ 16 = 7 remainder 6 |
| 3 | 16 ÷ 6 = 2 remainder 4 |
| 4 | 6 ÷ 4 = 1 remainder 2 |
| 5 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 161 and 17 | 2737 |
| 164 and 38 | 3116 |
| 112 and 61 | 6832 |
| 145 and 161 | 23345 |
| 111 and 62 | 6882 |