Least Common Multiple (LCM) of 125 and 22
The least common multiple (LCM) of 125 and 22 is 2750.
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 125 and 22?
First, calculate the GCD of 125 and 22 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 125 ÷ 22 = 5 remainder 15 |
| 2 | 22 ÷ 15 = 1 remainder 7 |
| 3 | 15 ÷ 7 = 2 remainder 1 |
| 4 | 7 ÷ 1 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 174 and 112 | 9744 |
| 43 and 120 | 5160 |
| 31 and 144 | 4464 |
| 167 and 199 | 33233 |
| 109 and 145 | 15805 |