Least Common Multiple (LCM) of 10 and 187
The least common multiple (LCM) of 10 and 187 is 1870.
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 10 and 187?
First, calculate the GCD of 10 and 187 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 10 ÷ 187 = 0 remainder 10 |
| 2 | 187 ÷ 10 = 18 remainder 7 |
| 3 | 10 ÷ 7 = 1 remainder 3 |
| 4 | 7 ÷ 3 = 2 remainder 1 |
| 5 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 103 and 146 | 15038 |
| 157 and 49 | 7693 |
| 146 and 31 | 4526 |
| 13 and 170 | 2210 |
| 125 and 54 | 6750 |