Least Common Multiple (LCM) of 187 and 60
The least common multiple (LCM) of 187 and 60 is 11220.
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 187 and 60?
First, calculate the GCD of 187 and 60 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 187 ÷ 60 = 3 remainder 7 |
| 2 | 60 ÷ 7 = 8 remainder 4 |
| 3 | 7 ÷ 4 = 1 remainder 3 |
| 4 | 4 ÷ 3 = 1 remainder 1 |
| 5 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 143 and 55 | 715 |
| 169 and 56 | 9464 |
| 14 and 88 | 616 |
| 14 and 66 | 462 |
| 57 and 158 | 9006 |