Least Common Multiple (LCM) of 125 and 55
The least common multiple (LCM) of 125 and 55 is 1375.
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 55?
First, calculate the GCD of 125 and 55 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 125 ÷ 55 = 2 remainder 15 |
| 2 | 55 ÷ 15 = 3 remainder 10 |
| 3 | 15 ÷ 10 = 1 remainder 5 |
| 4 | 10 ÷ 5 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 181 and 103 | 18643 |
| 137 and 131 | 17947 |
| 198 and 63 | 1386 |
| 153 and 135 | 2295 |
| 27 and 50 | 1350 |