Least Common Multiple (LCM) of 165 and 152
The least common multiple (LCM) of 165 and 152 is 25080.
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 165 and 152?
First, calculate the GCD of 165 and 152 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 165 ÷ 152 = 1 remainder 13 |
| 2 | 152 ÷ 13 = 11 remainder 9 |
| 3 | 13 ÷ 9 = 1 remainder 4 |
| 4 | 9 ÷ 4 = 2 remainder 1 |
| 5 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 90 and 113 | 10170 |
| 139 and 192 | 26688 |
| 96 and 15 | 480 |
| 125 and 63 | 7875 |
| 162 and 195 | 10530 |