Least Common Multiple (LCM) of 155 and 50
The least common multiple (LCM) of 155 and 50 is 1550.
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 155 and 50?
First, calculate the GCD of 155 and 50 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 155 ÷ 50 = 3 remainder 5 |
| 2 | 50 ÷ 5 = 10 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 18 and 91 | 1638 |
| 168 and 165 | 9240 |
| 115 and 84 | 9660 |
| 109 and 101 | 11009 |
| 44 and 11 | 44 |