Least Common Multiple (LCM) of 50 and 145
The least common multiple (LCM) of 50 and 145 is 1450.
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 145?
First, calculate the GCD of 50 and 145 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 50 ÷ 145 = 0 remainder 50 |
| 2 | 145 ÷ 50 = 2 remainder 45 |
| 3 | 50 ÷ 45 = 1 remainder 5 |
| 4 | 45 ÷ 5 = 9 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 167 and 81 | 13527 |
| 198 and 35 | 6930 |
| 128 and 144 | 1152 |
| 109 and 99 | 10791 |
| 115 and 45 | 1035 |