Least Common Multiple (LCM) of 161 and 98
The least common multiple (LCM) of 161 and 98 is 2254.
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 161 and 98?
First, calculate the GCD of 161 and 98 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 161 ÷ 98 = 1 remainder 63 |
| 2 | 98 ÷ 63 = 1 remainder 35 |
| 3 | 63 ÷ 35 = 1 remainder 28 |
| 4 | 35 ÷ 28 = 1 remainder 7 |
| 5 | 28 ÷ 7 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 177 and 74 | 13098 |
| 16 and 107 | 1712 |
| 193 and 98 | 18914 |
| 180 and 23 | 4140 |
| 124 and 62 | 124 |