Least Common Multiple (LCM) of 50 and 149
The least common multiple (LCM) of 50 and 149 is 7450.
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 149?
First, calculate the GCD of 50 and 149 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 50 ÷ 149 = 0 remainder 50 |
| 2 | 149 ÷ 50 = 2 remainder 49 |
| 3 | 50 ÷ 49 = 1 remainder 1 |
| 4 | 49 ÷ 1 = 49 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 87 and 66 | 1914 |
| 134 and 120 | 8040 |
| 74 and 91 | 6734 |
| 38 and 54 | 1026 |
| 198 and 176 | 1584 |