Least Common Multiple (LCM) of 127 and 121
The least common multiple (LCM) of 127 and 121 is 15367.
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 121?
First, calculate the GCD of 127 and 121 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 127 ÷ 121 = 1 remainder 6 |
| 2 | 121 ÷ 6 = 20 remainder 1 |
| 3 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 30 and 25 | 150 |
| 169 and 160 | 27040 |
| 27 and 151 | 4077 |
| 149 and 118 | 17582 |
| 68 and 141 | 9588 |