Least Common Multiple (LCM) of 154 and 150
The least common multiple (LCM) of 154 and 150 is 11550.
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 154 and 150?
First, calculate the GCD of 154 and 150 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 154 ÷ 150 = 1 remainder 4 |
| 2 | 150 ÷ 4 = 37 remainder 2 |
| 3 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 45 and 113 | 5085 |
| 147 and 200 | 29400 |
| 45 and 175 | 1575 |
| 144 and 69 | 3312 |
| 92 and 36 | 828 |