Least Common Multiple (LCM) of 177 and 70
The least common multiple (LCM) of 177 and 70 is 12390.
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 177 and 70?
First, calculate the GCD of 177 and 70 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 177 ÷ 70 = 2 remainder 37 |
| 2 | 70 ÷ 37 = 1 remainder 33 |
| 3 | 37 ÷ 33 = 1 remainder 4 |
| 4 | 33 ÷ 4 = 8 remainder 1 |
| 5 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 197 and 89 | 17533 |
| 194 and 125 | 24250 |
| 185 and 122 | 22570 |
| 134 and 115 | 15410 |
| 189 and 136 | 25704 |