Least Common Multiple (LCM) of 139 and 112
The least common multiple (LCM) of 139 and 112 is 15568.
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 112?
First, calculate the GCD of 139 and 112 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 139 ÷ 112 = 1 remainder 27 |
| 2 | 112 ÷ 27 = 4 remainder 4 |
| 3 | 27 ÷ 4 = 6 remainder 3 |
| 4 | 4 ÷ 3 = 1 remainder 1 |
| 5 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 157 and 135 | 21195 |
| 49 and 153 | 7497 |
| 109 and 180 | 19620 |
| 101 and 56 | 5656 |
| 30 and 60 | 60 |