Least Common Multiple (LCM) of 127 and 24
The least common multiple (LCM) of 127 and 24 is 3048.
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 24?
First, calculate the GCD of 127 and 24 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 127 ÷ 24 = 5 remainder 7 |
| 2 | 24 ÷ 7 = 3 remainder 3 |
| 3 | 7 ÷ 3 = 2 remainder 1 |
| 4 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 153 and 164 | 25092 |
| 118 and 170 | 10030 |
| 147 and 161 | 3381 |
| 103 and 119 | 12257 |
| 80 and 60 | 240 |