Least Common Multiple (LCM) of 112 and 187
The least common multiple (LCM) of 112 and 187 is 20944.
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 187?
First, calculate the GCD of 112 and 187 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 112 ÷ 187 = 0 remainder 112 |
| 2 | 187 ÷ 112 = 1 remainder 75 |
| 3 | 112 ÷ 75 = 1 remainder 37 |
| 4 | 75 ÷ 37 = 2 remainder 1 |
| 5 | 37 ÷ 1 = 37 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 163 and 161 | 26243 |
| 155 and 159 | 24645 |
| 153 and 88 | 13464 |
| 136 and 63 | 8568 |
| 118 and 159 | 18762 |