Least Common Multiple (LCM) of 112 and 134
The least common multiple (LCM) of 112 and 134 is 7504.
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 112 and 134?
First, calculate the GCD of 112 and 134 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 112 ÷ 134 = 0 remainder 112 |
| 2 | 134 ÷ 112 = 1 remainder 22 |
| 3 | 112 ÷ 22 = 5 remainder 2 |
| 4 | 22 ÷ 2 = 11 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 107 and 49 | 5243 |
| 41 and 163 | 6683 |
| 174 and 31 | 5394 |
| 156 and 75 | 3900 |
| 44 and 74 | 1628 |