Least Common Multiple (LCM) of 50 and 155
The least common multiple (LCM) of 50 and 155 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 50 and 155?
First, calculate the GCD of 50 and 155 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 50 ÷ 155 = 0 remainder 50 |
| 2 | 155 ÷ 50 = 3 remainder 5 |
| 3 | 50 ÷ 5 = 10 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 188 and 109 | 20492 |
| 105 and 117 | 4095 |
| 144 and 42 | 1008 |
| 93 and 72 | 2232 |
| 53 and 40 | 2120 |