Least Common Multiple (LCM) of 139 and 83
The least common multiple (LCM) of 139 and 83 is 11537.
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 83?
First, calculate the GCD of 139 and 83 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 139 ÷ 83 = 1 remainder 56 |
| 2 | 83 ÷ 56 = 1 remainder 27 |
| 3 | 56 ÷ 27 = 2 remainder 2 |
| 4 | 27 ÷ 2 = 13 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 31 and 137 | 4247 |
| 58 and 13 | 754 |
| 62 and 117 | 7254 |
| 45 and 185 | 1665 |
| 19 and 147 | 2793 |