Least Common Multiple (LCM) of 70 and 88
The least common multiple (LCM) of 70 and 88 is 3080.
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 88?
First, calculate the GCD of 70 and 88 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 70 ÷ 88 = 0 remainder 70 |
| 2 | 88 ÷ 70 = 1 remainder 18 |
| 3 | 70 ÷ 18 = 3 remainder 16 |
| 4 | 18 ÷ 16 = 1 remainder 2 |
| 5 | 16 ÷ 2 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 100 and 74 | 3700 |
| 195 and 65 | 195 |
| 154 and 156 | 12012 |
| 65 and 13 | 65 |
| 140 and 47 | 6580 |