Least Common Multiple (LCM) of 118 and 150
The least common multiple (LCM) of 118 and 150 is 8850.
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 118 and 150?
First, calculate the GCD of 118 and 150 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 118 ÷ 150 = 0 remainder 118 |
| 2 | 150 ÷ 118 = 1 remainder 32 |
| 3 | 118 ÷ 32 = 3 remainder 22 |
| 4 | 32 ÷ 22 = 1 remainder 10 |
| 5 | 22 ÷ 10 = 2 remainder 2 |
| 6 | 10 ÷ 2 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 112 and 153 | 17136 |
| 137 and 64 | 8768 |
| 66 and 157 | 10362 |
| 153 and 177 | 9027 |
| 42 and 15 | 210 |