Least Common Multiple (LCM) of 151 and 200
The least common multiple (LCM) of 151 and 200 is 30200.
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 151 and 200?
First, calculate the GCD of 151 and 200 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 151 ÷ 200 = 0 remainder 151 |
| 2 | 200 ÷ 151 = 1 remainder 49 |
| 3 | 151 ÷ 49 = 3 remainder 4 |
| 4 | 49 ÷ 4 = 12 remainder 1 |
| 5 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 25 and 144 | 3600 |
| 177 and 97 | 17169 |
| 140 and 100 | 700 |
| 49 and 103 | 5047 |
| 148 and 135 | 19980 |