Least Common Multiple (LCM) of 112 and 62
The least common multiple (LCM) of 112 and 62 is 3472.
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 112 and 62?
First, calculate the GCD of 112 and 62 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 112 ÷ 62 = 1 remainder 50 |
| 2 | 62 ÷ 50 = 1 remainder 12 |
| 3 | 50 ÷ 12 = 4 remainder 2 |
| 4 | 12 ÷ 2 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 104 and 30 | 1560 |
| 107 and 63 | 6741 |
| 70 and 118 | 4130 |
| 116 and 60 | 1740 |
| 173 and 173 | 173 |