Least Common Multiple (LCM) of 62 and 116
The least common multiple (LCM) of 62 and 116 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 62 and 116?
First, calculate the GCD of 62 and 116 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 62 ÷ 116 = 0 remainder 62 |
| 2 | 116 ÷ 62 = 1 remainder 54 |
| 3 | 62 ÷ 54 = 1 remainder 8 |
| 4 | 54 ÷ 8 = 6 remainder 6 |
| 5 | 8 ÷ 6 = 1 remainder 2 |
| 6 | 6 ÷ 2 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 36 and 34 | 612 |
| 45 and 115 | 1035 |
| 115 and 183 | 21045 |
| 104 and 113 | 11752 |
| 38 and 118 | 2242 |