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 |
|---|---|
| 29 and 98 | 2842 |
| 56 and 10 | 280 |
| 13 and 57 | 741 |
| 193 and 165 | 31845 |
| 128 and 160 | 640 |