Least Common Multiple (LCM) of 70 and 97
The least common multiple (LCM) of 70 and 97 is 6790.
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 97?
First, calculate the GCD of 70 and 97 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 70 ÷ 97 = 0 remainder 70 |
| 2 | 97 ÷ 70 = 1 remainder 27 |
| 3 | 70 ÷ 27 = 2 remainder 16 |
| 4 | 27 ÷ 16 = 1 remainder 11 |
| 5 | 16 ÷ 11 = 1 remainder 5 |
| 6 | 11 ÷ 5 = 2 remainder 1 |
| 7 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 113 and 167 | 18871 |
| 194 and 107 | 20758 |
| 195 and 57 | 3705 |
| 38 and 86 | 1634 |
| 105 and 168 | 840 |