Least Common Multiple (LCM) of 120 and 127
The least common multiple (LCM) of 120 and 127 is 15240.
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 120 and 127?
First, calculate the GCD of 120 and 127 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 120 ÷ 127 = 0 remainder 120 |
| 2 | 127 ÷ 120 = 1 remainder 7 |
| 3 | 120 ÷ 7 = 17 remainder 1 |
| 4 | 7 ÷ 1 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 59 and 68 | 4012 |
| 124 and 36 | 1116 |
| 31 and 31 | 31 |
| 45 and 16 | 720 |
| 176 and 48 | 528 |