Least Common Multiple (LCM) of 127 and 52
The least common multiple (LCM) of 127 and 52 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 127 and 52?
First, calculate the GCD of 127 and 52 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 127 ÷ 52 = 2 remainder 23 |
| 2 | 52 ÷ 23 = 2 remainder 6 |
| 3 | 23 ÷ 6 = 3 remainder 5 |
| 4 | 6 ÷ 5 = 1 remainder 1 |
| 5 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 163 and 70 | 11410 |
| 151 and 146 | 22046 |
| 31 and 22 | 682 |
| 94 and 147 | 13818 |
| 21 and 144 | 1008 |