Least Common Multiple (LCM) of 52 and 166
The least common multiple (LCM) of 52 and 166 is 4316.
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 52 and 166?
First, calculate the GCD of 52 and 166 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 52 ÷ 166 = 0 remainder 52 |
| 2 | 166 ÷ 52 = 3 remainder 10 |
| 3 | 52 ÷ 10 = 5 remainder 2 |
| 4 | 10 ÷ 2 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 126 and 88 | 5544 |
| 176 and 167 | 29392 |
| 130 and 100 | 1300 |
| 45 and 196 | 8820 |
| 78 and 106 | 4134 |