Least Common Multiple (LCM) of 162 and 148
The least common multiple (LCM) of 162 and 148 is 11988.
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 162 and 148?
First, calculate the GCD of 162 and 148 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 162 ÷ 148 = 1 remainder 14 |
| 2 | 148 ÷ 14 = 10 remainder 8 |
| 3 | 14 ÷ 8 = 1 remainder 6 |
| 4 | 8 ÷ 6 = 1 remainder 2 |
| 5 | 6 ÷ 2 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 168 and 169 | 28392 |
| 147 and 150 | 7350 |
| 128 and 153 | 19584 |
| 33 and 85 | 2805 |
| 134 and 131 | 17554 |