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 |
|---|---|
| 36 and 24 | 72 |
| 86 and 107 | 9202 |
| 172 and 168 | 7224 |
| 174 and 137 | 23838 |
| 70 and 50 | 350 |