Least Common Multiple (LCM) of 153 and 165
The least common multiple (LCM) of 153 and 165 is 8415.
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 165?
First, calculate the GCD of 153 and 165 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 153 ÷ 165 = 0 remainder 153 |
| 2 | 165 ÷ 153 = 1 remainder 12 |
| 3 | 153 ÷ 12 = 12 remainder 9 |
| 4 | 12 ÷ 9 = 1 remainder 3 |
| 5 | 9 ÷ 3 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 56 and 126 | 504 |
| 184 and 67 | 12328 |
| 84 and 158 | 6636 |
| 190 and 120 | 2280 |
| 82 and 193 | 15826 |