Least Common Multiple (LCM) of 148 and 111
The least common multiple (LCM) of 148 and 111 is 444.
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 111?
First, calculate the GCD of 148 and 111 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 148 ÷ 111 = 1 remainder 37 |
| 2 | 111 ÷ 37 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 89 and 164 | 14596 |
| 17 and 193 | 3281 |
| 45 and 114 | 1710 |
| 72 and 200 | 1800 |
| 87 and 40 | 3480 |