Least Common Multiple (LCM) of 124 and 187
The least common multiple (LCM) of 124 and 187 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 124 and 187?
First, calculate the GCD of 124 and 187 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 124 ÷ 187 = 0 remainder 124 |
| 2 | 187 ÷ 124 = 1 remainder 63 |
| 3 | 124 ÷ 63 = 1 remainder 61 |
| 4 | 63 ÷ 61 = 1 remainder 2 |
| 5 | 61 ÷ 2 = 30 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 179 and 86 | 15394 |
| 17 and 65 | 1105 |
| 164 and 110 | 9020 |
| 102 and 35 | 3570 |
| 77 and 113 | 8701 |