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 |
|---|---|
| 60 and 67 | 4020 |
| 129 and 165 | 7095 |
| 38 and 162 | 3078 |
| 10 and 63 | 630 |
| 127 and 170 | 21590 |