Least Common Multiple (LCM) of 150 and 198
The least common multiple (LCM) of 150 and 198 is 4950.
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 198?
First, calculate the GCD of 150 and 198 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 150 ÷ 198 = 0 remainder 150 |
| 2 | 198 ÷ 150 = 1 remainder 48 |
| 3 | 150 ÷ 48 = 3 remainder 6 |
| 4 | 48 ÷ 6 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 73 and 112 | 8176 |
| 125 and 80 | 2000 |
| 124 and 92 | 2852 |
| 197 and 174 | 34278 |
| 66 and 117 | 2574 |