Least Common Multiple (LCM) of 156 and 165
The least common multiple (LCM) of 156 and 165 is 8580.
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 156 and 165?
First, calculate the GCD of 156 and 165 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 156 ÷ 165 = 0 remainder 156 |
| 2 | 165 ÷ 156 = 1 remainder 9 |
| 3 | 156 ÷ 9 = 17 remainder 3 |
| 4 | 9 ÷ 3 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 49 and 79 | 3871 |
| 122 and 78 | 4758 |
| 143 and 134 | 19162 |
| 87 and 112 | 9744 |
| 199 and 140 | 27860 |