Least Common Multiple (LCM) of 22 and 125
The least common multiple (LCM) of 22 and 125 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 22 and 125?
First, calculate the GCD of 22 and 125 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 22 ÷ 125 = 0 remainder 22 |
| 2 | 125 ÷ 22 = 5 remainder 15 |
| 3 | 22 ÷ 15 = 1 remainder 7 |
| 4 | 15 ÷ 7 = 2 remainder 1 |
| 5 | 7 ÷ 1 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 143 and 80 | 11440 |
| 102 and 67 | 6834 |
| 189 and 93 | 5859 |
| 16 and 39 | 624 |
| 160 and 114 | 9120 |