Least Common Multiple (LCM) of 92 and 148
The least common multiple (LCM) of 92 and 148 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 92 and 148?
First, calculate the GCD of 92 and 148 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 92 ÷ 148 = 0 remainder 92 |
| 2 | 148 ÷ 92 = 1 remainder 56 |
| 3 | 92 ÷ 56 = 1 remainder 36 |
| 4 | 56 ÷ 36 = 1 remainder 20 |
| 5 | 36 ÷ 20 = 1 remainder 16 |
| 6 | 20 ÷ 16 = 1 remainder 4 |
| 7 | 16 ÷ 4 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 87 and 19 | 1653 |
| 181 and 120 | 21720 |
| 176 and 17 | 2992 |
| 175 and 150 | 1050 |
| 110 and 99 | 990 |