Least Common Multiple (LCM) of 171 and 70
The least common multiple (LCM) of 171 and 70 is 11970.
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 171 and 70?
First, calculate the GCD of 171 and 70 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 171 ÷ 70 = 2 remainder 31 |
| 2 | 70 ÷ 31 = 2 remainder 8 |
| 3 | 31 ÷ 8 = 3 remainder 7 |
| 4 | 8 ÷ 7 = 1 remainder 1 |
| 5 | 7 ÷ 1 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 100 and 120 | 600 |
| 85 and 148 | 12580 |
| 183 and 121 | 22143 |
| 70 and 80 | 560 |
| 106 and 54 | 2862 |