Least Common Multiple (LCM) of 50 and 92
The least common multiple (LCM) of 50 and 92 is 2300.
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 92?
First, calculate the GCD of 50 and 92 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 50 ÷ 92 = 0 remainder 50 |
| 2 | 92 ÷ 50 = 1 remainder 42 |
| 3 | 50 ÷ 42 = 1 remainder 8 |
| 4 | 42 ÷ 8 = 5 remainder 2 |
| 5 | 8 ÷ 2 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 109 and 184 | 20056 |
| 117 and 140 | 16380 |
| 36 and 157 | 5652 |
| 145 and 107 | 15515 |
| 83 and 151 | 12533 |