Least Common Multiple (LCM) of 172 and 174
The least common multiple (LCM) of 172 and 174 is 14964.
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 174?
First, calculate the GCD of 172 and 174 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 172 ÷ 174 = 0 remainder 172 |
| 2 | 174 ÷ 172 = 1 remainder 2 |
| 3 | 172 ÷ 2 = 86 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 165 and 111 | 6105 |
| 126 and 40 | 2520 |
| 113 and 193 | 21809 |
| 54 and 127 | 6858 |
| 68 and 85 | 340 |