Least Common Multiple (LCM) of 70 and 166
The least common multiple (LCM) of 70 and 166 is 5810.
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 70 and 166?
First, calculate the GCD of 70 and 166 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 70 ÷ 166 = 0 remainder 70 |
| 2 | 166 ÷ 70 = 2 remainder 26 |
| 3 | 70 ÷ 26 = 2 remainder 18 |
| 4 | 26 ÷ 18 = 1 remainder 8 |
| 5 | 18 ÷ 8 = 2 remainder 2 |
| 6 | 8 ÷ 2 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 108 and 94 | 5076 |
| 180 and 16 | 720 |
| 120 and 68 | 2040 |
| 106 and 121 | 12826 |
| 10 and 195 | 390 |