Least Common Multiple (LCM) of 46 and 139
The least common multiple (LCM) of 46 and 139 is 6394.
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 46 and 139?
First, calculate the GCD of 46 and 139 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 46 ÷ 139 = 0 remainder 46 |
| 2 | 139 ÷ 46 = 3 remainder 1 |
| 3 | 46 ÷ 1 = 46 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 31 and 26 | 806 |
| 106 and 14 | 742 |
| 200 and 144 | 3600 |
| 140 and 85 | 2380 |
| 197 and 185 | 36445 |