Least Common Multiple (LCM) of 62 and 103
The least common multiple (LCM) of 62 and 103 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 62 and 103?
First, calculate the GCD of 62 and 103 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 62 ÷ 103 = 0 remainder 62 |
| 2 | 103 ÷ 62 = 1 remainder 41 |
| 3 | 62 ÷ 41 = 1 remainder 21 |
| 4 | 41 ÷ 21 = 1 remainder 20 |
| 5 | 21 ÷ 20 = 1 remainder 1 |
| 6 | 20 ÷ 1 = 20 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 143 and 172 | 24596 |
| 100 and 119 | 11900 |
| 10 and 195 | 390 |
| 30 and 21 | 210 |
| 118 and 47 | 5546 |