Least Common Multiple (LCM) of 70 and 80
The least common multiple (LCM) of 70 and 80 is 560.
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 70 and 80?
First, calculate the GCD of 70 and 80 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 70 ÷ 80 = 0 remainder 70 |
| 2 | 80 ÷ 70 = 1 remainder 10 |
| 3 | 70 ÷ 10 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 179 and 130 | 23270 |
| 76 and 175 | 13300 |
| 193 and 48 | 9264 |
| 85 and 120 | 2040 |
| 175 and 87 | 15225 |