Least Common Multiple (LCM) of 163 and 70
The least common multiple (LCM) of 163 and 70 is 11410.
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 163 and 70?
First, calculate the GCD of 163 and 70 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 163 ÷ 70 = 2 remainder 23 |
| 2 | 70 ÷ 23 = 3 remainder 1 |
| 3 | 23 ÷ 1 = 23 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 157 and 33 | 5181 |
| 12 and 59 | 708 |
| 30 and 17 | 510 |
| 102 and 94 | 4794 |
| 10 and 127 | 1270 |