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 |
|---|---|
| 112 and 105 | 1680 |
| 37 and 168 | 6216 |
| 15 and 55 | 165 |
| 137 and 74 | 10138 |
| 139 and 118 | 16402 |