Least Common Multiple (LCM) of 61 and 62
The least common multiple (LCM) of 61 and 62 is 3782.
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 61 and 62?
First, calculate the GCD of 61 and 62 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 61 ÷ 62 = 0 remainder 61 |
| 2 | 62 ÷ 61 = 1 remainder 1 |
| 3 | 61 ÷ 1 = 61 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 116 and 25 | 2900 |
| 126 and 101 | 12726 |
| 132 and 75 | 3300 |
| 117 and 101 | 11817 |
| 104 and 136 | 1768 |