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 |
|---|---|
| 99 and 35 | 3465 |
| 173 and 28 | 4844 |
| 122 and 49 | 5978 |
| 115 and 40 | 920 |
| 172 and 89 | 15308 |