Least Common Multiple (LCM) of 164 and 98
The least common multiple (LCM) of 164 and 98 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 98?
First, calculate the GCD of 164 and 98 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 164 ÷ 98 = 1 remainder 66 |
| 2 | 98 ÷ 66 = 1 remainder 32 |
| 3 | 66 ÷ 32 = 2 remainder 2 |
| 4 | 32 ÷ 2 = 16 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 109 and 159 | 17331 |
| 173 and 171 | 29583 |
| 196 and 174 | 17052 |
| 111 and 18 | 666 |
| 23 and 76 | 1748 |