Least Common Multiple (LCM) of 127 and 112
The least common multiple (LCM) of 127 and 112 is 14224.
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 112?
First, calculate the GCD of 127 and 112 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 127 ÷ 112 = 1 remainder 15 |
| 2 | 112 ÷ 15 = 7 remainder 7 |
| 3 | 15 ÷ 7 = 2 remainder 1 |
| 4 | 7 ÷ 1 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 12 and 123 | 492 |
| 146 and 188 | 13724 |
| 138 and 171 | 7866 |
| 184 and 150 | 13800 |
| 160 and 67 | 10720 |