Least Common Multiple (LCM) of 64 and 166
The least common multiple (LCM) of 64 and 166 is 5312.
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 64 and 166?
First, calculate the GCD of 64 and 166 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 64 ÷ 166 = 0 remainder 64 |
| 2 | 166 ÷ 64 = 2 remainder 38 |
| 3 | 64 ÷ 38 = 1 remainder 26 |
| 4 | 38 ÷ 26 = 1 remainder 12 |
| 5 | 26 ÷ 12 = 2 remainder 2 |
| 6 | 12 ÷ 2 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 42 and 102 | 714 |
| 14 and 164 | 1148 |
| 199 and 138 | 27462 |
| 137 and 140 | 19180 |
| 109 and 42 | 4578 |