Least Common Multiple (LCM) of 155 and 150
The least common multiple (LCM) of 155 and 150 is 4650.
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 155 and 150?
First, calculate the GCD of 155 and 150 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 155 ÷ 150 = 1 remainder 5 |
| 2 | 150 ÷ 5 = 30 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 75 and 119 | 8925 |
| 78 and 168 | 2184 |
| 50 and 34 | 850 |
| 140 and 31 | 4340 |
| 193 and 87 | 16791 |