Least Common Multiple (LCM) of 114 and 62
The least common multiple (LCM) of 114 and 62 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 114 and 62?
First, calculate the GCD of 114 and 62 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 114 ÷ 62 = 1 remainder 52 |
| 2 | 62 ÷ 52 = 1 remainder 10 |
| 3 | 52 ÷ 10 = 5 remainder 2 |
| 4 | 10 ÷ 2 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 128 and 120 | 1920 |
| 66 and 132 | 132 |
| 198 and 107 | 21186 |
| 87 and 103 | 8961 |
| 158 and 55 | 8690 |