Least Common Multiple (LCM) of 50 and 148
The least common multiple (LCM) of 50 and 148 is 3700.
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 148?
First, calculate the GCD of 50 and 148 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 50 ÷ 148 = 0 remainder 50 |
| 2 | 148 ÷ 50 = 2 remainder 48 |
| 3 | 50 ÷ 48 = 1 remainder 2 |
| 4 | 48 ÷ 2 = 24 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 174 and 51 | 2958 |
| 72 and 178 | 6408 |
| 147 and 129 | 6321 |
| 45 and 98 | 4410 |
| 164 and 154 | 12628 |