Least Common Multiple (LCM) of 154 and 75
The least common multiple (LCM) of 154 and 75 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 75?
First, calculate the GCD of 154 and 75 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 154 ÷ 75 = 2 remainder 4 |
| 2 | 75 ÷ 4 = 18 remainder 3 |
| 3 | 4 ÷ 3 = 1 remainder 1 |
| 4 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 189 and 63 | 189 |
| 57 and 154 | 8778 |
| 165 and 99 | 495 |
| 115 and 184 | 920 |
| 104 and 189 | 19656 |