Least Common Multiple (LCM) of 187 and 124
The least common multiple (LCM) of 187 and 124 is 23188.
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 124?
First, calculate the GCD of 187 and 124 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 187 ÷ 124 = 1 remainder 63 |
| 2 | 124 ÷ 63 = 1 remainder 61 |
| 3 | 63 ÷ 61 = 1 remainder 2 |
| 4 | 61 ÷ 2 = 30 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 49 and 150 | 7350 |
| 158 and 176 | 13904 |
| 104 and 51 | 5304 |
| 170 and 117 | 19890 |
| 16 and 16 | 16 |