Least Common Multiple (LCM) of 50 and 49
The least common multiple (LCM) of 50 and 49 is 2450.
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 49?
First, calculate the GCD of 50 and 49 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 50 ÷ 49 = 1 remainder 1 |
| 2 | 49 ÷ 1 = 49 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 110 and 70 | 770 |
| 133 and 120 | 15960 |
| 155 and 45 | 1395 |
| 200 and 31 | 6200 |
| 91 and 129 | 11739 |