Least Common Multiple (LCM) of 172 and 86
The least common multiple (LCM) of 172 and 86 is 172.
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 86?
First, calculate the GCD of 172 and 86 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 172 ÷ 86 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 88 and 134 | 5896 |
| 113 and 129 | 14577 |
| 168 and 176 | 3696 |
| 93 and 135 | 4185 |
| 38 and 48 | 912 |