Least Common Multiple (LCM) of 92 and 73
The least common multiple (LCM) of 92 and 73 is 6716.
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 73?
First, calculate the GCD of 92 and 73 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 92 ÷ 73 = 1 remainder 19 |
| 2 | 73 ÷ 19 = 3 remainder 16 |
| 3 | 19 ÷ 16 = 1 remainder 3 |
| 4 | 16 ÷ 3 = 5 remainder 1 |
| 5 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 170 and 42 | 3570 |
| 121 and 180 | 21780 |
| 37 and 121 | 4477 |
| 195 and 60 | 780 |
| 179 and 131 | 23449 |