Least Common Multiple (LCM) of 87 and 127
The least common multiple (LCM) of 87 and 127 is 11049.
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 87 and 127?
First, calculate the GCD of 87 and 127 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 87 ÷ 127 = 0 remainder 87 |
| 2 | 127 ÷ 87 = 1 remainder 40 |
| 3 | 87 ÷ 40 = 2 remainder 7 |
| 4 | 40 ÷ 7 = 5 remainder 5 |
| 5 | 7 ÷ 5 = 1 remainder 2 |
| 6 | 5 ÷ 2 = 2 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 123 and 19 | 2337 |
| 183 and 33 | 2013 |
| 200 and 150 | 600 |
| 182 and 43 | 7826 |
| 145 and 75 | 2175 |