Least Common Multiple (LCM) of 134 and 116
The least common multiple (LCM) of 134 and 116 is 7772.
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 116?
First, calculate the GCD of 134 and 116 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 134 ÷ 116 = 1 remainder 18 |
| 2 | 116 ÷ 18 = 6 remainder 8 |
| 3 | 18 ÷ 8 = 2 remainder 2 |
| 4 | 8 ÷ 2 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 120 and 147 | 5880 |
| 41 and 137 | 5617 |
| 16 and 120 | 240 |
| 187 and 69 | 12903 |
| 155 and 16 | 2480 |