Least Common Multiple (LCM) of 170 and 91
The least common multiple (LCM) of 170 and 91 is 15470.
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 170 and 91?
First, calculate the GCD of 170 and 91 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 170 ÷ 91 = 1 remainder 79 |
| 2 | 91 ÷ 79 = 1 remainder 12 |
| 3 | 79 ÷ 12 = 6 remainder 7 |
| 4 | 12 ÷ 7 = 1 remainder 5 |
| 5 | 7 ÷ 5 = 1 remainder 2 |
| 6 | 5 ÷ 2 = 2 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 36 and 51 | 612 |
| 68 and 25 | 1700 |
| 33 and 156 | 1716 |
| 157 and 123 | 19311 |
| 166 and 43 | 7138 |