Least Common Multiple (LCM) of 170 and 138
The least common multiple (LCM) of 170 and 138 is 11730.
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 138?
First, calculate the GCD of 170 and 138 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 170 ÷ 138 = 1 remainder 32 |
| 2 | 138 ÷ 32 = 4 remainder 10 |
| 3 | 32 ÷ 10 = 3 remainder 2 |
| 4 | 10 ÷ 2 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 155 and 46 | 7130 |
| 107 and 109 | 11663 |
| 51 and 140 | 7140 |
| 19 and 33 | 627 |
| 197 and 143 | 28171 |