Least Common Multiple (LCM) of 92 and 147
The least common multiple (LCM) of 92 and 147 is 13524.
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 147?
First, calculate the GCD of 92 and 147 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 92 ÷ 147 = 0 remainder 92 |
| 2 | 147 ÷ 92 = 1 remainder 55 |
| 3 | 92 ÷ 55 = 1 remainder 37 |
| 4 | 55 ÷ 37 = 1 remainder 18 |
| 5 | 37 ÷ 18 = 2 remainder 1 |
| 6 | 18 ÷ 1 = 18 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 177 and 149 | 26373 |
| 24 and 198 | 792 |
| 14 and 57 | 798 |
| 111 and 135 | 4995 |
| 160 and 148 | 5920 |