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 |
|---|---|
| 166 and 193 | 32038 |
| 150 and 61 | 9150 |
| 129 and 150 | 6450 |
| 133 and 178 | 23674 |
| 126 and 86 | 5418 |