Least Common Multiple (LCM) of 85 and 151
The least common multiple (LCM) of 85 and 151 is 12835.
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 151?
First, calculate the GCD of 85 and 151 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 85 ÷ 151 = 0 remainder 85 |
| 2 | 151 ÷ 85 = 1 remainder 66 |
| 3 | 85 ÷ 66 = 1 remainder 19 |
| 4 | 66 ÷ 19 = 3 remainder 9 |
| 5 | 19 ÷ 9 = 2 remainder 1 |
| 6 | 9 ÷ 1 = 9 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 91 and 37 | 3367 |
| 104 and 95 | 9880 |
| 36 and 116 | 1044 |
| 146 and 189 | 27594 |
| 188 and 13 | 2444 |