Least Common Multiple (LCM) of 170 and 152
The least common multiple (LCM) of 170 and 152 is 12920.
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 152?
First, calculate the GCD of 170 and 152 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 170 ÷ 152 = 1 remainder 18 |
| 2 | 152 ÷ 18 = 8 remainder 8 |
| 3 | 18 ÷ 8 = 2 remainder 2 |
| 4 | 8 ÷ 2 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 108 and 70 | 3780 |
| 30 and 183 | 1830 |
| 184 and 111 | 20424 |
| 59 and 142 | 8378 |
| 156 and 158 | 12324 |