Least Common Multiple (LCM) of 85 and 153
The least common multiple (LCM) of 85 and 153 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 85 and 153?
First, calculate the GCD of 85 and 153 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 85 ÷ 153 = 0 remainder 85 |
| 2 | 153 ÷ 85 = 1 remainder 68 |
| 3 | 85 ÷ 68 = 1 remainder 17 |
| 4 | 68 ÷ 17 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 36 and 165 | 1980 |
| 123 and 80 | 9840 |
| 130 and 17 | 2210 |
| 141 and 66 | 3102 |
| 153 and 117 | 1989 |