Least Common Multiple (LCM) of 150 and 151
The least common multiple (LCM) of 150 and 151 is 22650.
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 150 and 151?
First, calculate the GCD of 150 and 151 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 150 ÷ 151 = 0 remainder 150 |
| 2 | 151 ÷ 150 = 1 remainder 1 |
| 3 | 150 ÷ 1 = 150 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 36 and 175 | 6300 |
| 194 and 158 | 15326 |
| 180 and 198 | 1980 |
| 175 and 55 | 1925 |
| 112 and 84 | 336 |