Least Common Multiple (LCM) of 98 and 58
The least common multiple (LCM) of 98 and 58 is 2842.
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 58?
First, calculate the GCD of 98 and 58 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 98 ÷ 58 = 1 remainder 40 |
| 2 | 58 ÷ 40 = 1 remainder 18 |
| 3 | 40 ÷ 18 = 2 remainder 4 |
| 4 | 18 ÷ 4 = 4 remainder 2 |
| 5 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 186 and 96 | 2976 |
| 104 and 32 | 416 |
| 89 and 52 | 4628 |
| 64 and 182 | 5824 |
| 186 and 80 | 7440 |