Least Common Multiple (LCM) of 171 and 36
The least common multiple (LCM) of 171 and 36 is 684.
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 171 and 36?
First, calculate the GCD of 171 and 36 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 171 ÷ 36 = 4 remainder 27 |
| 2 | 36 ÷ 27 = 1 remainder 9 |
| 3 | 27 ÷ 9 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 124 and 177 | 21948 |
| 157 and 131 | 20567 |
| 48 and 74 | 1776 |
| 135 and 143 | 19305 |
| 90 and 16 | 720 |