Least Common Multiple (LCM) of 139 and 132
The least common multiple (LCM) of 139 and 132 is 18348.
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 132?
First, calculate the GCD of 139 and 132 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 139 ÷ 132 = 1 remainder 7 |
| 2 | 132 ÷ 7 = 18 remainder 6 |
| 3 | 7 ÷ 6 = 1 remainder 1 |
| 4 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 110 and 145 | 3190 |
| 54 and 199 | 10746 |
| 175 and 113 | 19775 |
| 49 and 16 | 784 |
| 88 and 78 | 3432 |