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 |
|---|---|
| 139 and 55 | 7645 |
| 197 and 89 | 17533 |
| 114 and 13 | 1482 |
| 93 and 100 | 9300 |
| 199 and 179 | 35621 |