Least Common Multiple (LCM) of 98 and 124
The least common multiple (LCM) of 98 and 124 is 6076.
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 124?
First, calculate the GCD of 98 and 124 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 98 ÷ 124 = 0 remainder 98 |
| 2 | 124 ÷ 98 = 1 remainder 26 |
| 3 | 98 ÷ 26 = 3 remainder 20 |
| 4 | 26 ÷ 20 = 1 remainder 6 |
| 5 | 20 ÷ 6 = 3 remainder 2 |
| 6 | 6 ÷ 2 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 108 and 53 | 5724 |
| 140 and 95 | 2660 |
| 158 and 163 | 25754 |
| 183 and 162 | 9882 |
| 137 and 15 | 2055 |