Least Common Multiple (LCM) of 148 and 99
The least common multiple (LCM) of 148 and 99 is 14652.
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 148 and 99?
First, calculate the GCD of 148 and 99 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 148 ÷ 99 = 1 remainder 49 |
| 2 | 99 ÷ 49 = 2 remainder 1 |
| 3 | 49 ÷ 1 = 49 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 187 and 174 | 32538 |
| 174 and 105 | 6090 |
| 146 and 150 | 10950 |
| 162 and 10 | 810 |
| 146 and 64 | 4672 |