Least Common Multiple (LCM) of 98 and 162
The least common multiple (LCM) of 98 and 162 is 7938.
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 162?
First, calculate the GCD of 98 and 162 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 98 ÷ 162 = 0 remainder 98 |
| 2 | 162 ÷ 98 = 1 remainder 64 |
| 3 | 98 ÷ 64 = 1 remainder 34 |
| 4 | 64 ÷ 34 = 1 remainder 30 |
| 5 | 34 ÷ 30 = 1 remainder 4 |
| 6 | 30 ÷ 4 = 7 remainder 2 |
| 7 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 70 and 164 | 5740 |
| 131 and 53 | 6943 |
| 53 and 194 | 10282 |
| 102 and 159 | 5406 |
| 55 and 143 | 715 |