Least Common Multiple (LCM) of 100 and 80
The least common multiple (LCM) of 100 and 80 is 400.
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 100 and 80?
First, calculate the GCD of 100 and 80 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 100 ÷ 80 = 1 remainder 20 |
| 2 | 80 ÷ 20 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 120 and 34 | 2040 |
| 126 and 61 | 7686 |
| 170 and 120 | 2040 |
| 65 and 131 | 8515 |
| 132 and 95 | 12540 |