Least Common Multiple (LCM) of 150 and 85
The least common multiple (LCM) of 150 and 85 is 2550.
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 85?
First, calculate the GCD of 150 and 85 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 150 ÷ 85 = 1 remainder 65 |
| 2 | 85 ÷ 65 = 1 remainder 20 |
| 3 | 65 ÷ 20 = 3 remainder 5 |
| 4 | 20 ÷ 5 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 172 and 192 | 8256 |
| 31 and 80 | 2480 |
| 183 and 68 | 12444 |
| 59 and 128 | 7552 |
| 74 and 94 | 3478 |