Least Common Multiple (LCM) of 70 and 179
The least common multiple (LCM) of 70 and 179 is 12530.
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 179?
First, calculate the GCD of 70 and 179 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 70 ÷ 179 = 0 remainder 70 |
| 2 | 179 ÷ 70 = 2 remainder 39 |
| 3 | 70 ÷ 39 = 1 remainder 31 |
| 4 | 39 ÷ 31 = 1 remainder 8 |
| 5 | 31 ÷ 8 = 3 remainder 7 |
| 6 | 8 ÷ 7 = 1 remainder 1 |
| 7 | 7 ÷ 1 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 101 and 43 | 4343 |
| 56 and 33 | 1848 |
| 171 and 165 | 9405 |
| 64 and 129 | 8256 |
| 197 and 42 | 8274 |