Least Common Multiple (LCM) of 70 and 164
The least common multiple (LCM) of 70 and 164 is 5740.
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 164?
First, calculate the GCD of 70 and 164 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 70 ÷ 164 = 0 remainder 70 |
| 2 | 164 ÷ 70 = 2 remainder 24 |
| 3 | 70 ÷ 24 = 2 remainder 22 |
| 4 | 24 ÷ 22 = 1 remainder 2 |
| 5 | 22 ÷ 2 = 11 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 137 and 71 | 9727 |
| 168 and 34 | 2856 |
| 49 and 53 | 2597 |
| 154 and 102 | 7854 |
| 80 and 162 | 6480 |