Least Common Multiple (LCM) of 16 and 148
The least common multiple (LCM) of 16 and 148 is 592.
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 16 and 148?
First, calculate the GCD of 16 and 148 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 16 ÷ 148 = 0 remainder 16 |
| 2 | 148 ÷ 16 = 9 remainder 4 |
| 3 | 16 ÷ 4 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 17 and 106 | 1802 |
| 153 and 42 | 2142 |
| 78 and 164 | 6396 |
| 153 and 104 | 15912 |
| 91 and 25 | 2275 |