Least Common Multiple (LCM) of 132 and 98
The least common multiple (LCM) of 132 and 98 is 6468.
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 132 and 98?
First, calculate the GCD of 132 and 98 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 132 ÷ 98 = 1 remainder 34 |
| 2 | 98 ÷ 34 = 2 remainder 30 |
| 3 | 34 ÷ 30 = 1 remainder 4 |
| 4 | 30 ÷ 4 = 7 remainder 2 |
| 5 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 137 and 97 | 13289 |
| 53 and 85 | 4505 |
| 63 and 186 | 3906 |
| 155 and 189 | 29295 |
| 117 and 124 | 14508 |