Least Common Multiple (LCM) of 70 and 182
The least common multiple (LCM) of 70 and 182 is 910.
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 182?
First, calculate the GCD of 70 and 182 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 70 ÷ 182 = 0 remainder 70 |
| 2 | 182 ÷ 70 = 2 remainder 42 |
| 3 | 70 ÷ 42 = 1 remainder 28 |
| 4 | 42 ÷ 28 = 1 remainder 14 |
| 5 | 28 ÷ 14 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 108 and 23 | 2484 |
| 195 and 10 | 390 |
| 189 and 73 | 13797 |
| 131 and 163 | 21353 |
| 107 and 59 | 6313 |