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 |
|---|---|
| 120 and 179 | 21480 |
| 198 and 171 | 3762 |
| 83 and 110 | 9130 |
| 10 and 195 | 390 |
| 125 and 103 | 12875 |