Least Common Multiple (LCM) of 137 and 139
The least common multiple (LCM) of 137 and 139 is 19043.
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 137 and 139?
First, calculate the GCD of 137 and 139 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 137 ÷ 139 = 0 remainder 137 |
| 2 | 139 ÷ 137 = 1 remainder 2 |
| 3 | 137 ÷ 2 = 68 remainder 1 |
| 4 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 157 and 118 | 18526 |
| 49 and 160 | 7840 |
| 61 and 142 | 8662 |
| 133 and 109 | 14497 |
| 127 and 20 | 2540 |