Least Common Multiple (LCM) of 50 and 76
The least common multiple (LCM) of 50 and 76 is 1900.
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 76?
First, calculate the GCD of 50 and 76 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 50 ÷ 76 = 0 remainder 50 |
| 2 | 76 ÷ 50 = 1 remainder 26 |
| 3 | 50 ÷ 26 = 1 remainder 24 |
| 4 | 26 ÷ 24 = 1 remainder 2 |
| 5 | 24 ÷ 2 = 12 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 124 and 101 | 12524 |
| 94 and 30 | 1410 |
| 157 and 159 | 24963 |
| 17 and 47 | 799 |
| 136 and 200 | 3400 |