Least Common Multiple (LCM) of 172 and 114
The least common multiple (LCM) of 172 and 114 is 9804.
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 114?
First, calculate the GCD of 172 and 114 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 172 ÷ 114 = 1 remainder 58 |
| 2 | 114 ÷ 58 = 1 remainder 56 |
| 3 | 58 ÷ 56 = 1 remainder 2 |
| 4 | 56 ÷ 2 = 28 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 17 and 157 | 2669 |
| 110 and 191 | 21010 |
| 101 and 104 | 10504 |
| 83 and 174 | 14442 |
| 113 and 143 | 16159 |