Least Common Multiple (LCM) of 127 and 53
The least common multiple (LCM) of 127 and 53 is 6731.
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 53?
First, calculate the GCD of 127 and 53 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 127 ÷ 53 = 2 remainder 21 |
| 2 | 53 ÷ 21 = 2 remainder 11 |
| 3 | 21 ÷ 11 = 1 remainder 10 |
| 4 | 11 ÷ 10 = 1 remainder 1 |
| 5 | 10 ÷ 1 = 10 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 25 and 134 | 3350 |
| 21 and 18 | 126 |
| 60 and 158 | 4740 |
| 185 and 141 | 26085 |
| 113 and 197 | 22261 |