Least Common Multiple (LCM) of 172 and 84
The least common multiple (LCM) of 172 and 84 is 3612.
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 84?
First, calculate the GCD of 172 and 84 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 172 ÷ 84 = 2 remainder 4 |
| 2 | 84 ÷ 4 = 21 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 171 and 54 | 1026 |
| 126 and 120 | 2520 |
| 197 and 132 | 26004 |
| 139 and 35 | 4865 |
| 35 and 88 | 3080 |