Least Common Multiple (LCM) of 172 and 88
The least common multiple (LCM) of 172 and 88 is 3784.
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 88?
First, calculate the GCD of 172 and 88 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 172 ÷ 88 = 1 remainder 84 |
| 2 | 88 ÷ 84 = 1 remainder 4 |
| 3 | 84 ÷ 4 = 21 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 130 and 137 | 17810 |
| 30 and 24 | 120 |
| 96 and 126 | 2016 |
| 162 and 195 | 10530 |
| 160 and 87 | 13920 |