Least Common Multiple (LCM) of 150 and 149
The least common multiple (LCM) of 150 and 149 is 22350.
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 149?
First, calculate the GCD of 150 and 149 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 150 ÷ 149 = 1 remainder 1 |
| 2 | 149 ÷ 1 = 149 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 10 and 113 | 1130 |
| 17 and 73 | 1241 |
| 73 and 107 | 7811 |
| 126 and 189 | 378 |
| 57 and 39 | 741 |