Least Common Multiple (LCM) of 111 and 148
The least common multiple (LCM) of 111 and 148 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 111 and 148?
First, calculate the GCD of 111 and 148 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 111 ÷ 148 = 0 remainder 111 |
| 2 | 148 ÷ 111 = 1 remainder 37 |
| 3 | 111 ÷ 37 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 187 and 151 | 28237 |
| 167 and 126 | 21042 |
| 24 and 176 | 528 |
| 164 and 73 | 11972 |
| 121 and 150 | 18150 |