Least Common Multiple (LCM) of 116 and 62
The least common multiple (LCM) of 116 and 62 is 3596.
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 116 and 62?
First, calculate the GCD of 116 and 62 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 116 ÷ 62 = 1 remainder 54 |
| 2 | 62 ÷ 54 = 1 remainder 8 |
| 3 | 54 ÷ 8 = 6 remainder 6 |
| 4 | 8 ÷ 6 = 1 remainder 2 |
| 5 | 6 ÷ 2 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 25 and 59 | 1475 |
| 140 and 17 | 2380 |
| 42 and 19 | 798 |
| 49 and 124 | 6076 |
| 109 and 71 | 7739 |