Least Common Multiple (LCM) of 62 and 57
The least common multiple (LCM) of 62 and 57 is 3534.
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 57?
First, calculate the GCD of 62 and 57 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 62 ÷ 57 = 1 remainder 5 |
| 2 | 57 ÷ 5 = 11 remainder 2 |
| 3 | 5 ÷ 2 = 2 remainder 1 |
| 4 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 198 and 37 | 7326 |
| 75 and 60 | 300 |
| 200 and 14 | 1400 |
| 79 and 121 | 9559 |
| 168 and 72 | 504 |