Least Common Multiple (LCM) of 46 and 49
The least common multiple (LCM) of 46 and 49 is 2254.
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 49?
First, calculate the GCD of 46 and 49 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 46 ÷ 49 = 0 remainder 46 |
| 2 | 49 ÷ 46 = 1 remainder 3 |
| 3 | 46 ÷ 3 = 15 remainder 1 |
| 4 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 106 and 32 | 1696 |
| 144 and 127 | 18288 |
| 48 and 153 | 2448 |
| 194 and 154 | 14938 |
| 103 and 186 | 19158 |