Least Common Multiple (LCM) of 127 and 10
The least common multiple (LCM) of 127 and 10 is 1270.
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 10?
First, calculate the GCD of 127 and 10 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 127 ÷ 10 = 12 remainder 7 |
| 2 | 10 ÷ 7 = 1 remainder 3 |
| 3 | 7 ÷ 3 = 2 remainder 1 |
| 4 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 77 and 31 | 2387 |
| 20 and 192 | 960 |
| 154 and 137 | 21098 |
| 74 and 150 | 5550 |
| 184 and 136 | 3128 |