Least Common Multiple (LCM) of 98 and 139
The least common multiple (LCM) of 98 and 139 is 13622.
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 139?
First, calculate the GCD of 98 and 139 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 98 ÷ 139 = 0 remainder 98 |
| 2 | 139 ÷ 98 = 1 remainder 41 |
| 3 | 98 ÷ 41 = 2 remainder 16 |
| 4 | 41 ÷ 16 = 2 remainder 9 |
| 5 | 16 ÷ 9 = 1 remainder 7 |
| 6 | 9 ÷ 7 = 1 remainder 2 |
| 7 | 7 ÷ 2 = 3 remainder 1 |
| 8 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 169 and 182 | 2366 |
| 189 and 105 | 945 |
| 137 and 41 | 5617 |
| 63 and 106 | 6678 |
| 23 and 76 | 1748 |