Least Common Multiple (LCM) of 172 and 134
The least common multiple (LCM) of 172 and 134 is 11524.
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 134?
First, calculate the GCD of 172 and 134 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 172 ÷ 134 = 1 remainder 38 |
| 2 | 134 ÷ 38 = 3 remainder 20 |
| 3 | 38 ÷ 20 = 1 remainder 18 |
| 4 | 20 ÷ 18 = 1 remainder 2 |
| 5 | 18 ÷ 2 = 9 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 108 and 160 | 4320 |
| 80 and 176 | 880 |
| 114 and 165 | 6270 |
| 76 and 61 | 4636 |
| 113 and 45 | 5085 |