Least Common Multiple (LCM) of 157 and 170
The least common multiple (LCM) of 157 and 170 is 26690.
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 157 and 170?
First, calculate the GCD of 157 and 170 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 157 ÷ 170 = 0 remainder 157 |
| 2 | 170 ÷ 157 = 1 remainder 13 |
| 3 | 157 ÷ 13 = 12 remainder 1 |
| 4 | 13 ÷ 1 = 13 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 165 and 54 | 2970 |
| 197 and 137 | 26989 |
| 146 and 38 | 2774 |
| 129 and 41 | 5289 |
| 167 and 106 | 17702 |