Least Common Multiple (LCM) of 153 and 171
The least common multiple (LCM) of 153 and 171 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 153 and 171?
First, calculate the GCD of 153 and 171 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 153 ÷ 171 = 0 remainder 153 |
| 2 | 171 ÷ 153 = 1 remainder 18 |
| 3 | 153 ÷ 18 = 8 remainder 9 |
| 4 | 18 ÷ 9 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 75 and 27 | 675 |
| 195 and 55 | 2145 |
| 101 and 170 | 17170 |
| 115 and 35 | 805 |
| 109 and 50 | 5450 |