Least Common Multiple (LCM) of 148 and 92
The least common multiple (LCM) of 148 and 92 is 3404.
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 92?
First, calculate the GCD of 148 and 92 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 148 ÷ 92 = 1 remainder 56 |
| 2 | 92 ÷ 56 = 1 remainder 36 |
| 3 | 56 ÷ 36 = 1 remainder 20 |
| 4 | 36 ÷ 20 = 1 remainder 16 |
| 5 | 20 ÷ 16 = 1 remainder 4 |
| 6 | 16 ÷ 4 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 40 and 170 | 680 |
| 174 and 122 | 10614 |
| 152 and 102 | 7752 |
| 192 and 176 | 2112 |
| 183 and 43 | 7869 |