Least Common Multiple (LCM) of 172 and 188
The least common multiple (LCM) of 172 and 188 is 8084.
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 188?
First, calculate the GCD of 172 and 188 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 172 ÷ 188 = 0 remainder 172 |
| 2 | 188 ÷ 172 = 1 remainder 16 |
| 3 | 172 ÷ 16 = 10 remainder 12 |
| 4 | 16 ÷ 12 = 1 remainder 4 |
| 5 | 12 ÷ 4 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 75 and 137 | 10275 |
| 140 and 186 | 13020 |
| 193 and 53 | 10229 |
| 60 and 20 | 60 |
| 70 and 155 | 2170 |