Least Common Multiple (LCM) of 53 and 166
The least common multiple (LCM) of 53 and 166 is 8798.
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 166?
First, calculate the GCD of 53 and 166 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 53 ÷ 166 = 0 remainder 53 |
| 2 | 166 ÷ 53 = 3 remainder 7 |
| 3 | 53 ÷ 7 = 7 remainder 4 |
| 4 | 7 ÷ 4 = 1 remainder 3 |
| 5 | 4 ÷ 3 = 1 remainder 1 |
| 6 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 196 and 40 | 1960 |
| 199 and 125 | 24875 |
| 180 and 149 | 26820 |
| 114 and 178 | 10146 |
| 198 and 143 | 2574 |