Least Common Multiple (LCM) of 546 and 310
The least common multiple (LCM) of 546 and 310 is 84630.
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 546 and 310?
First, calculate the GCD of 546 and 310 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 546 ÷ 310 = 1 remainder 236 |
| 2 | 310 ÷ 236 = 1 remainder 74 |
| 3 | 236 ÷ 74 = 3 remainder 14 |
| 4 | 74 ÷ 14 = 5 remainder 4 |
| 5 | 14 ÷ 4 = 3 remainder 2 |
| 6 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 39 and 41 | 1599 |
| 22 and 87 | 1914 |
| 181 and 63 | 11403 |
| 115 and 97 | 11155 |
| 131 and 102 | 13362 |