Least Common Multiple (LCM) of 139 and 98
The least common multiple (LCM) of 139 and 98 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 139 and 98?
First, calculate the GCD of 139 and 98 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 139 ÷ 98 = 1 remainder 41 |
| 2 | 98 ÷ 41 = 2 remainder 16 |
| 3 | 41 ÷ 16 = 2 remainder 9 |
| 4 | 16 ÷ 9 = 1 remainder 7 |
| 5 | 9 ÷ 7 = 1 remainder 2 |
| 6 | 7 ÷ 2 = 3 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 61 and 81 | 4941 |
| 117 and 32 | 3744 |
| 124 and 175 | 21700 |
| 88 and 26 | 1144 |
| 188 and 95 | 17860 |