Least Common Multiple (LCM) of 187 and 127
The least common multiple (LCM) of 187 and 127 is 23749.
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 187 and 127?
First, calculate the GCD of 187 and 127 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 187 ÷ 127 = 1 remainder 60 |
| 2 | 127 ÷ 60 = 2 remainder 7 |
| 3 | 60 ÷ 7 = 8 remainder 4 |
| 4 | 7 ÷ 4 = 1 remainder 3 |
| 5 | 4 ÷ 3 = 1 remainder 1 |
| 6 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 127 and 22 | 2794 |
| 27 and 143 | 3861 |
| 157 and 144 | 22608 |
| 110 and 148 | 8140 |
| 145 and 23 | 3335 |