Least Common Multiple (LCM) of 46 and 62
The least common multiple (LCM) of 46 and 62 is 1426.
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 62?
First, calculate the GCD of 46 and 62 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 46 ÷ 62 = 0 remainder 46 |
| 2 | 62 ÷ 46 = 1 remainder 16 |
| 3 | 46 ÷ 16 = 2 remainder 14 |
| 4 | 16 ÷ 14 = 1 remainder 2 |
| 5 | 14 ÷ 2 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 142 and 128 | 9088 |
| 87 and 16 | 1392 |
| 184 and 87 | 16008 |
| 186 and 24 | 744 |
| 119 and 26 | 3094 |