Least Common Multiple (LCM) of 61 and 51
The least common multiple (LCM) of 61 and 51 is 3111.
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 51?
First, calculate the GCD of 61 and 51 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 61 ÷ 51 = 1 remainder 10 |
| 2 | 51 ÷ 10 = 5 remainder 1 |
| 3 | 10 ÷ 1 = 10 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 130 and 105 | 2730 |
| 39 and 121 | 4719 |
| 116 and 193 | 22388 |
| 158 and 43 | 6794 |
| 135 and 180 | 540 |