Least Common Multiple (LCM) of 171 and 153
The least common multiple (LCM) of 171 and 153 is 2907.
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 153?
First, calculate the GCD of 171 and 153 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 171 ÷ 153 = 1 remainder 18 |
| 2 | 153 ÷ 18 = 8 remainder 9 |
| 3 | 18 ÷ 9 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 103 and 188 | 19364 |
| 82 and 151 | 12382 |
| 100 and 89 | 8900 |
| 59 and 30 | 1770 |
| 168 and 153 | 8568 |