Least Common Multiple (LCM) of 172 and 87
The least common multiple (LCM) of 172 and 87 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 87?
First, calculate the GCD of 172 and 87 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 172 ÷ 87 = 1 remainder 85 |
| 2 | 87 ÷ 85 = 1 remainder 2 |
| 3 | 85 ÷ 2 = 42 remainder 1 |
| 4 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 36 and 45 | 180 |
| 142 and 93 | 13206 |
| 177 and 56 | 9912 |
| 186 and 89 | 16554 |
| 135 and 130 | 3510 |