Least Common Multiple (LCM) of 84 and 98
The least common multiple (LCM) of 84 and 98 is 588.
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 84 and 98?
First, calculate the GCD of 84 and 98 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 84 ÷ 98 = 0 remainder 84 |
| 2 | 98 ÷ 84 = 1 remainder 14 |
| 3 | 84 ÷ 14 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 176 and 13 | 2288 |
| 56 and 94 | 2632 |
| 57 and 102 | 1938 |
| 17 and 27 | 459 |
| 116 and 185 | 21460 |