Least Common Multiple (LCM) of 187 and 58
The least common multiple (LCM) of 187 and 58 is 10846.
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 58?
First, calculate the GCD of 187 and 58 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 187 ÷ 58 = 3 remainder 13 |
| 2 | 58 ÷ 13 = 4 remainder 6 |
| 3 | 13 ÷ 6 = 2 remainder 1 |
| 4 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 142 and 70 | 4970 |
| 168 and 135 | 7560 |
| 100 and 85 | 1700 |
| 117 and 132 | 5148 |
| 135 and 88 | 11880 |