Least Common Multiple (LCM) of 170 and 97
The least common multiple (LCM) of 170 and 97 is 16490.
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 97?
First, calculate the GCD of 170 and 97 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 170 ÷ 97 = 1 remainder 73 |
| 2 | 97 ÷ 73 = 1 remainder 24 |
| 3 | 73 ÷ 24 = 3 remainder 1 |
| 4 | 24 ÷ 1 = 24 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 137 and 192 | 26304 |
| 155 and 129 | 19995 |
| 83 and 160 | 13280 |
| 192 and 133 | 25536 |
| 117 and 120 | 4680 |