Least Common Multiple (LCM) of 112 and 148
The least common multiple (LCM) of 112 and 148 is 4144.
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 112 and 148?
First, calculate the GCD of 112 and 148 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 112 ÷ 148 = 0 remainder 112 |
| 2 | 148 ÷ 112 = 1 remainder 36 |
| 3 | 112 ÷ 36 = 3 remainder 4 |
| 4 | 36 ÷ 4 = 9 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 111 and 70 | 7770 |
| 137 and 58 | 7946 |
| 38 and 174 | 3306 |
| 107 and 33 | 3531 |
| 194 and 150 | 14550 |