Least Common Multiple (LCM) of 124 and 165
The least common multiple (LCM) of 124 and 165 is 20460.
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 165?
First, calculate the GCD of 124 and 165 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 124 ÷ 165 = 0 remainder 124 |
| 2 | 165 ÷ 124 = 1 remainder 41 |
| 3 | 124 ÷ 41 = 3 remainder 1 |
| 4 | 41 ÷ 1 = 41 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 14 and 114 | 798 |
| 78 and 90 | 1170 |
| 132 and 16 | 528 |
| 113 and 31 | 3503 |
| 166 and 87 | 14442 |