Least Common Multiple (LCM) of 127 and 88
The least common multiple (LCM) of 127 and 88 is 11176.
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 127 and 88?
First, calculate the GCD of 127 and 88 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 127 ÷ 88 = 1 remainder 39 |
| 2 | 88 ÷ 39 = 2 remainder 10 |
| 3 | 39 ÷ 10 = 3 remainder 9 |
| 4 | 10 ÷ 9 = 1 remainder 1 |
| 5 | 9 ÷ 1 = 9 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 161 and 100 | 16100 |
| 20 and 121 | 2420 |
| 157 and 107 | 16799 |
| 126 and 172 | 10836 |
| 15 and 101 | 1515 |