Least Common Multiple (LCM) of 153 and 85
The least common multiple (LCM) of 153 and 85 is 765.
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 153 and 85?
First, calculate the GCD of 153 and 85 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 153 ÷ 85 = 1 remainder 68 |
| 2 | 85 ÷ 68 = 1 remainder 17 |
| 3 | 68 ÷ 17 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 189 and 85 | 16065 |
| 110 and 123 | 13530 |
| 161 and 162 | 26082 |
| 110 and 63 | 6930 |
| 100 and 39 | 3900 |