Least Common Multiple (LCM) of 164 and 196
The least common multiple (LCM) of 164 and 196 is 8036.
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 164 and 196?
First, calculate the GCD of 164 and 196 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 164 ÷ 196 = 0 remainder 164 |
| 2 | 196 ÷ 164 = 1 remainder 32 |
| 3 | 164 ÷ 32 = 5 remainder 4 |
| 4 | 32 ÷ 4 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 89 and 154 | 13706 |
| 44 and 45 | 1980 |
| 112 and 55 | 6160 |
| 137 and 200 | 27400 |
| 95 and 98 | 9310 |