Least Common Multiple (LCM) of 70 and 81
The least common multiple (LCM) of 70 and 81 is 5670.
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 81?
First, calculate the GCD of 70 and 81 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 70 ÷ 81 = 0 remainder 70 |
| 2 | 81 ÷ 70 = 1 remainder 11 |
| 3 | 70 ÷ 11 = 6 remainder 4 |
| 4 | 11 ÷ 4 = 2 remainder 3 |
| 5 | 4 ÷ 3 = 1 remainder 1 |
| 6 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 136 and 131 | 17816 |
| 142 and 103 | 14626 |
| 137 and 46 | 6302 |
| 34 and 65 | 2210 |
| 104 and 21 | 2184 |