Least Common Multiple (LCM) of 80 and 62
The least common multiple (LCM) of 80 and 62 is 2480.
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 80 and 62?
First, calculate the GCD of 80 and 62 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 80 ÷ 62 = 1 remainder 18 |
| 2 | 62 ÷ 18 = 3 remainder 8 |
| 3 | 18 ÷ 8 = 2 remainder 2 |
| 4 | 8 ÷ 2 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 138 and 186 | 4278 |
| 124 and 184 | 5704 |
| 184 and 34 | 3128 |
| 17 and 41 | 697 |
| 99 and 132 | 396 |