Least Common Multiple (LCM) of 139 and 108
The least common multiple (LCM) of 139 and 108 is 15012.
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 108?
First, calculate the GCD of 139 and 108 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 139 ÷ 108 = 1 remainder 31 |
| 2 | 108 ÷ 31 = 3 remainder 15 |
| 3 | 31 ÷ 15 = 2 remainder 1 |
| 4 | 15 ÷ 1 = 15 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 108 and 104 | 2808 |
| 167 and 81 | 13527 |
| 60 and 117 | 2340 |
| 138 and 53 | 7314 |
| 40 and 81 | 3240 |