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 |
|---|---|
| 150 and 53 | 7950 |
| 78 and 96 | 1248 |
| 140 and 159 | 22260 |
| 73 and 138 | 10074 |
| 146 and 46 | 3358 |