Least Common Multiple (LCM) of 150 and 154
The least common multiple (LCM) of 150 and 154 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 150 and 154?
First, calculate the GCD of 150 and 154 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 150 ÷ 154 = 0 remainder 150 |
| 2 | 154 ÷ 150 = 1 remainder 4 |
| 3 | 150 ÷ 4 = 37 remainder 2 |
| 4 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 107 and 172 | 18404 |
| 156 and 55 | 8580 |
| 141 and 34 | 4794 |
| 197 and 135 | 26595 |
| 101 and 118 | 11918 |