Least Common Multiple (LCM) of 151 and 150
The least common multiple (LCM) of 151 and 150 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 151 and 150?
First, calculate the GCD of 151 and 150 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 151 ÷ 150 = 1 remainder 1 |
| 2 | 150 ÷ 1 = 150 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 105 and 161 | 2415 |
| 158 and 197 | 31126 |
| 22 and 31 | 682 |
| 14 and 111 | 1554 |
| 51 and 103 | 5253 |