Least Common Multiple (LCM) of 98 and 164
The least common multiple (LCM) of 98 and 164 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 98 and 164?
First, calculate the GCD of 98 and 164 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 98 ÷ 164 = 0 remainder 98 |
| 2 | 164 ÷ 98 = 1 remainder 66 |
| 3 | 98 ÷ 66 = 1 remainder 32 |
| 4 | 66 ÷ 32 = 2 remainder 2 |
| 5 | 32 ÷ 2 = 16 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 175 and 53 | 9275 |
| 126 and 143 | 18018 |
| 107 and 102 | 10914 |
| 23 and 200 | 4600 |
| 33 and 110 | 330 |