Least Common Multiple (LCM) of 59 and 92
The least common multiple (LCM) of 59 and 92 is 5428.
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 59 and 92?
First, calculate the GCD of 59 and 92 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 59 ÷ 92 = 0 remainder 59 |
| 2 | 92 ÷ 59 = 1 remainder 33 |
| 3 | 59 ÷ 33 = 1 remainder 26 |
| 4 | 33 ÷ 26 = 1 remainder 7 |
| 5 | 26 ÷ 7 = 3 remainder 5 |
| 6 | 7 ÷ 5 = 1 remainder 2 |
| 7 | 5 ÷ 2 = 2 remainder 1 |
| 8 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 10 and 184 | 920 |
| 187 and 190 | 35530 |
| 17 and 81 | 1377 |
| 137 and 166 | 22742 |
| 108 and 178 | 9612 |