Least Common Multiple (LCM) of 62 and 56
The least common multiple (LCM) of 62 and 56 is 1736.
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 56?
First, calculate the GCD of 62 and 56 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 62 ÷ 56 = 1 remainder 6 |
| 2 | 56 ÷ 6 = 9 remainder 2 |
| 3 | 6 ÷ 2 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 169 and 172 | 29068 |
| 14 and 94 | 658 |
| 21 and 97 | 2037 |
| 115 and 132 | 15180 |
| 186 and 172 | 15996 |