Least Common Multiple (LCM) of 80 and 124
The least common multiple (LCM) of 80 and 124 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 124?
First, calculate the GCD of 80 and 124 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 80 ÷ 124 = 0 remainder 80 |
| 2 | 124 ÷ 80 = 1 remainder 44 |
| 3 | 80 ÷ 44 = 1 remainder 36 |
| 4 | 44 ÷ 36 = 1 remainder 8 |
| 5 | 36 ÷ 8 = 4 remainder 4 |
| 6 | 8 ÷ 4 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 178 and 200 | 17800 |
| 175 and 50 | 350 |
| 199 and 186 | 37014 |
| 129 and 95 | 12255 |
| 172 and 135 | 23220 |