Least Common Multiple (LCM) of 80 and 142
The least common multiple (LCM) of 80 and 142 is 5680.
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 142?
First, calculate the GCD of 80 and 142 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 80 ÷ 142 = 0 remainder 80 |
| 2 | 142 ÷ 80 = 1 remainder 62 |
| 3 | 80 ÷ 62 = 1 remainder 18 |
| 4 | 62 ÷ 18 = 3 remainder 8 |
| 5 | 18 ÷ 8 = 2 remainder 2 |
| 6 | 8 ÷ 2 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 95 and 106 | 10070 |
| 184 and 145 | 26680 |
| 182 and 122 | 11102 |
| 117 and 188 | 21996 |
| 85 and 52 | 4420 |