Least Common Multiple (LCM) of 53 and 92
The least common multiple (LCM) of 53 and 92 is 4876.
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 53 and 92?
First, calculate the GCD of 53 and 92 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 53 ÷ 92 = 0 remainder 53 |
| 2 | 92 ÷ 53 = 1 remainder 39 |
| 3 | 53 ÷ 39 = 1 remainder 14 |
| 4 | 39 ÷ 14 = 2 remainder 11 |
| 5 | 14 ÷ 11 = 1 remainder 3 |
| 6 | 11 ÷ 3 = 3 remainder 2 |
| 7 | 3 ÷ 2 = 1 remainder 1 |
| 8 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 115 and 41 | 4715 |
| 11 and 71 | 781 |
| 80 and 167 | 13360 |
| 197 and 197 | 197 |
| 48 and 71 | 3408 |