Least Common Multiple (LCM) of 147 and 127
The least common multiple (LCM) of 147 and 127 is 18669.
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 147 and 127?
First, calculate the GCD of 147 and 127 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 147 ÷ 127 = 1 remainder 20 |
| 2 | 127 ÷ 20 = 6 remainder 7 |
| 3 | 20 ÷ 7 = 2 remainder 6 |
| 4 | 7 ÷ 6 = 1 remainder 1 |
| 5 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 135 and 46 | 6210 |
| 70 and 93 | 6510 |
| 142 and 68 | 4828 |
| 156 and 68 | 2652 |
| 37 and 121 | 4477 |