Least Common Multiple (LCM) of 70 and 58
The least common multiple (LCM) of 70 and 58 is 2030.
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 58?
First, calculate the GCD of 70 and 58 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 70 ÷ 58 = 1 remainder 12 |
| 2 | 58 ÷ 12 = 4 remainder 10 |
| 3 | 12 ÷ 10 = 1 remainder 2 |
| 4 | 10 ÷ 2 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 72 and 72 | 72 |
| 40 and 96 | 480 |
| 39 and 100 | 3900 |
| 146 and 191 | 27886 |
| 145 and 60 | 1740 |