Least Common Multiple (LCM) of 57 and 61
The least common multiple (LCM) of 57 and 61 is 3477.
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 57 and 61?
First, calculate the GCD of 57 and 61 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 57 ÷ 61 = 0 remainder 57 |
| 2 | 61 ÷ 57 = 1 remainder 4 |
| 3 | 57 ÷ 4 = 14 remainder 1 |
| 4 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 199 and 112 | 22288 |
| 135 and 44 | 5940 |
| 119 and 24 | 2856 |
| 145 and 162 | 23490 |
| 151 and 149 | 22499 |