Least Common Multiple (LCM) of 111 and 134
The least common multiple (LCM) of 111 and 134 is 14874.
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 111 and 134?
First, calculate the GCD of 111 and 134 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 111 ÷ 134 = 0 remainder 111 |
| 2 | 134 ÷ 111 = 1 remainder 23 |
| 3 | 111 ÷ 23 = 4 remainder 19 |
| 4 | 23 ÷ 19 = 1 remainder 4 |
| 5 | 19 ÷ 4 = 4 remainder 3 |
| 6 | 4 ÷ 3 = 1 remainder 1 |
| 7 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 38 and 176 | 3344 |
| 134 and 38 | 2546 |
| 169 and 184 | 31096 |
| 30 and 118 | 1770 |
| 138 and 174 | 4002 |