Least Common Multiple (LCM) of 50 and 152
The least common multiple (LCM) of 50 and 152 is 3800.
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 152?
First, calculate the GCD of 50 and 152 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 50 ÷ 152 = 0 remainder 50 |
| 2 | 152 ÷ 50 = 3 remainder 2 |
| 3 | 50 ÷ 2 = 25 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 178 and 89 | 178 |
| 147 and 94 | 13818 |
| 69 and 199 | 13731 |
| 108 and 56 | 1512 |
| 25 and 98 | 2450 |