Least Common Multiple (LCM) of 139 and 20
The least common multiple (LCM) of 139 and 20 is 2780.
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 20?
First, calculate the GCD of 139 and 20 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 139 ÷ 20 = 6 remainder 19 |
| 2 | 20 ÷ 19 = 1 remainder 1 |
| 3 | 19 ÷ 1 = 19 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 155 and 37 | 5735 |
| 96 and 62 | 2976 |
| 186 and 57 | 3534 |
| 123 and 92 | 11316 |
| 150 and 145 | 4350 |