Least Common Multiple (LCM) of 71 and 70
The least common multiple (LCM) of 71 and 70 is 4970.
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 71 and 70?
First, calculate the GCD of 71 and 70 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 71 ÷ 70 = 1 remainder 1 |
| 2 | 70 ÷ 1 = 70 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 111 and 199 | 22089 |
| 108 and 54 | 108 |
| 61 and 164 | 10004 |
| 133 and 127 | 16891 |
| 39 and 45 | 585 |