Least Common Multiple (LCM) of 139 and 113
The least common multiple (LCM) of 139 and 113 is 15707.
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 113?
First, calculate the GCD of 139 and 113 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 139 ÷ 113 = 1 remainder 26 |
| 2 | 113 ÷ 26 = 4 remainder 9 |
| 3 | 26 ÷ 9 = 2 remainder 8 |
| 4 | 9 ÷ 8 = 1 remainder 1 |
| 5 | 8 ÷ 1 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 187 and 125 | 23375 |
| 64 and 162 | 5184 |
| 130 and 165 | 4290 |
| 131 and 63 | 8253 |
| 102 and 47 | 4794 |