Least Common Multiple (LCM) of 127 and 130
The least common multiple (LCM) of 127 and 130 is 16510.
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 130?
First, calculate the GCD of 127 and 130 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 127 ÷ 130 = 0 remainder 127 |
| 2 | 130 ÷ 127 = 1 remainder 3 |
| 3 | 127 ÷ 3 = 42 remainder 1 |
| 4 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 162 and 152 | 12312 |
| 77 and 64 | 4928 |
| 195 and 43 | 8385 |
| 21 and 145 | 3045 |
| 185 and 53 | 9805 |