Least Common Multiple (LCM) of 172 and 166
The least common multiple (LCM) of 172 and 166 is 14276.
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 166?
First, calculate the GCD of 172 and 166 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 172 ÷ 166 = 1 remainder 6 |
| 2 | 166 ÷ 6 = 27 remainder 4 |
| 3 | 6 ÷ 4 = 1 remainder 2 |
| 4 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 106 and 27 | 2862 |
| 118 and 63 | 7434 |
| 140 and 72 | 2520 |
| 194 and 189 | 36666 |
| 99 and 155 | 15345 |