Least Common Multiple (LCM) of 172 and 170
The least common multiple (LCM) of 172 and 170 is 14620.
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 172 and 170?
First, calculate the GCD of 172 and 170 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 172 ÷ 170 = 1 remainder 2 |
| 2 | 170 ÷ 2 = 85 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 194 and 125 | 24250 |
| 106 and 135 | 14310 |
| 109 and 99 | 10791 |
| 62 and 25 | 1550 |
| 109 and 77 | 8393 |