Least Common Multiple (LCM) of 70 and 187
The least common multiple (LCM) of 70 and 187 is 13090.
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 187?
First, calculate the GCD of 70 and 187 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 70 ÷ 187 = 0 remainder 70 |
| 2 | 187 ÷ 70 = 2 remainder 47 |
| 3 | 70 ÷ 47 = 1 remainder 23 |
| 4 | 47 ÷ 23 = 2 remainder 1 |
| 5 | 23 ÷ 1 = 23 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 41 and 40 | 1640 |
| 180 and 56 | 2520 |
| 173 and 141 | 24393 |
| 49 and 131 | 6419 |
| 189 and 16 | 3024 |