Least Common Multiple (LCM) of 88 and 127
The least common multiple (LCM) of 88 and 127 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 88 and 127?
First, calculate the GCD of 88 and 127 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 88 ÷ 127 = 0 remainder 88 |
| 2 | 127 ÷ 88 = 1 remainder 39 |
| 3 | 88 ÷ 39 = 2 remainder 10 |
| 4 | 39 ÷ 10 = 3 remainder 9 |
| 5 | 10 ÷ 9 = 1 remainder 1 |
| 6 | 9 ÷ 1 = 9 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 120 and 54 | 1080 |
| 129 and 187 | 24123 |
| 112 and 15 | 1680 |
| 53 and 160 | 8480 |
| 157 and 88 | 13816 |