Least Common Multiple (LCM) of 150 and 86
The least common multiple (LCM) of 150 and 86 is 6450.
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 86?
First, calculate the GCD of 150 and 86 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 150 ÷ 86 = 1 remainder 64 |
| 2 | 86 ÷ 64 = 1 remainder 22 |
| 3 | 64 ÷ 22 = 2 remainder 20 |
| 4 | 22 ÷ 20 = 1 remainder 2 |
| 5 | 20 ÷ 2 = 10 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 98 and 196 | 196 |
| 124 and 89 | 11036 |
| 52 and 133 | 6916 |
| 127 and 86 | 10922 |
| 111 and 36 | 1332 |