Least Common Multiple (LCM) of 50 and 43
The least common multiple (LCM) of 50 and 43 is 2150.
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 43?
First, calculate the GCD of 50 and 43 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 50 ÷ 43 = 1 remainder 7 |
| 2 | 43 ÷ 7 = 6 remainder 1 |
| 3 | 7 ÷ 1 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 124 and 52 | 1612 |
| 142 and 136 | 9656 |
| 137 and 84 | 11508 |
| 66 and 40 | 1320 |
| 85 and 84 | 7140 |