Least Common Multiple (LCM) of 85 and 172
The least common multiple (LCM) of 85 and 172 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 85 and 172?
First, calculate the GCD of 85 and 172 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 85 ÷ 172 = 0 remainder 85 |
| 2 | 172 ÷ 85 = 2 remainder 2 |
| 3 | 85 ÷ 2 = 42 remainder 1 |
| 4 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 39 and 173 | 6747 |
| 142 and 70 | 4970 |
| 13 and 120 | 1560 |
| 71 and 124 | 8804 |
| 137 and 60 | 8220 |