Least Common Multiple (LCM) of 187 and 172
The least common multiple (LCM) of 187 and 172 is 32164.
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 187 and 172?
First, calculate the GCD of 187 and 172 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 187 ÷ 172 = 1 remainder 15 |
| 2 | 172 ÷ 15 = 11 remainder 7 |
| 3 | 15 ÷ 7 = 2 remainder 1 |
| 4 | 7 ÷ 1 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 149 and 77 | 11473 |
| 143 and 125 | 17875 |
| 200 and 156 | 7800 |
| 175 and 87 | 15225 |
| 29 and 99 | 2871 |