Least Common Multiple (LCM) of 52 and 127
The least common multiple (LCM) of 52 and 127 is 6604.
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 52 and 127?
First, calculate the GCD of 52 and 127 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 52 ÷ 127 = 0 remainder 52 |
| 2 | 127 ÷ 52 = 2 remainder 23 |
| 3 | 52 ÷ 23 = 2 remainder 6 |
| 4 | 23 ÷ 6 = 3 remainder 5 |
| 5 | 6 ÷ 5 = 1 remainder 1 |
| 6 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 171 and 121 | 20691 |
| 142 and 14 | 994 |
| 195 and 196 | 38220 |
| 134 and 79 | 10586 |
| 120 and 39 | 1560 |