Least Common Multiple (LCM) of 103 and 62
The least common multiple (LCM) of 103 and 62 is 6386.
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 103 and 62?
First, calculate the GCD of 103 and 62 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 103 ÷ 62 = 1 remainder 41 |
| 2 | 62 ÷ 41 = 1 remainder 21 |
| 3 | 41 ÷ 21 = 1 remainder 20 |
| 4 | 21 ÷ 20 = 1 remainder 1 |
| 5 | 20 ÷ 1 = 20 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 177 and 67 | 11859 |
| 62 and 81 | 5022 |
| 129 and 103 | 13287 |
| 11 and 99 | 99 |
| 169 and 98 | 16562 |