Least Common Multiple (LCM) of 172 and 85
The least common multiple (LCM) of 172 and 85 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 85?
First, calculate the GCD of 172 and 85 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 172 ÷ 85 = 2 remainder 2 |
| 2 | 85 ÷ 2 = 42 remainder 1 |
| 3 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 130 and 102 | 6630 |
| 129 and 133 | 17157 |
| 48 and 40 | 240 |
| 193 and 191 | 36863 |
| 185 and 44 | 8140 |