Least Common Multiple (LCM) of 156 and 162
The least common multiple (LCM) of 156 and 162 is 4212.
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 162?
First, calculate the GCD of 156 and 162 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 156 ÷ 162 = 0 remainder 156 |
| 2 | 162 ÷ 156 = 1 remainder 6 |
| 3 | 156 ÷ 6 = 26 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 111 and 152 | 16872 |
| 126 and 133 | 2394 |
| 100 and 142 | 7100 |
| 53 and 45 | 2385 |
| 114 and 130 | 7410 |