Least Common Multiple (LCM) of 46 and 61
The least common multiple (LCM) of 46 and 61 is 2806.
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 61?
First, calculate the GCD of 46 and 61 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 46 ÷ 61 = 0 remainder 46 |
| 2 | 61 ÷ 46 = 1 remainder 15 |
| 3 | 46 ÷ 15 = 3 remainder 1 |
| 4 | 15 ÷ 1 = 15 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 144 and 153 | 2448 |
| 182 and 132 | 12012 |
| 45 and 34 | 1530 |
| 106 and 14 | 742 |
| 23 and 159 | 3657 |