Least Common Multiple (LCM) of 104 and 62
The least common multiple (LCM) of 104 and 62 is 3224.
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 104 and 62?
First, calculate the GCD of 104 and 62 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 104 ÷ 62 = 1 remainder 42 |
| 2 | 62 ÷ 42 = 1 remainder 20 |
| 3 | 42 ÷ 20 = 2 remainder 2 |
| 4 | 20 ÷ 2 = 10 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 93 and 85 | 7905 |
| 103 and 85 | 8755 |
| 87 and 164 | 14268 |
| 160 and 95 | 3040 |
| 196 and 133 | 3724 |