Least Common Multiple (LCM) of 85 and 155
The least common multiple (LCM) of 85 and 155 is 2635.
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 85 and 155?
First, calculate the GCD of 85 and 155 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 85 ÷ 155 = 0 remainder 85 |
| 2 | 155 ÷ 85 = 1 remainder 70 |
| 3 | 85 ÷ 70 = 1 remainder 15 |
| 4 | 70 ÷ 15 = 4 remainder 10 |
| 5 | 15 ÷ 10 = 1 remainder 5 |
| 6 | 10 ÷ 5 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 29 and 175 | 5075 |
| 152 and 50 | 3800 |
| 17 and 131 | 2227 |
| 100 and 152 | 3800 |
| 19 and 168 | 3192 |