Least Common Multiple (LCM) of 171 and 21
The least common multiple (LCM) of 171 and 21 is 1197.
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 21?
First, calculate the GCD of 171 and 21 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 171 ÷ 21 = 8 remainder 3 |
| 2 | 21 ÷ 3 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 173 and 106 | 18338 |
| 182 and 139 | 25298 |
| 58 and 199 | 11542 |
| 150 and 57 | 2850 |
| 101 and 148 | 14948 |