Least Common Multiple (LCM) of 127 and 147
The least common multiple (LCM) of 127 and 147 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 127 and 147?
First, calculate the GCD of 127 and 147 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 127 ÷ 147 = 0 remainder 127 |
| 2 | 147 ÷ 127 = 1 remainder 20 |
| 3 | 127 ÷ 20 = 6 remainder 7 |
| 4 | 20 ÷ 7 = 2 remainder 6 |
| 5 | 7 ÷ 6 = 1 remainder 1 |
| 6 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 166 and 107 | 17762 |
| 129 and 93 | 3999 |
| 54 and 76 | 2052 |
| 199 and 58 | 11542 |
| 198 and 122 | 12078 |