Least Common Multiple (LCM) of 124 and 164
The least common multiple (LCM) of 124 and 164 is 5084.
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 164?
First, calculate the GCD of 124 and 164 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 124 ÷ 164 = 0 remainder 124 |
| 2 | 164 ÷ 124 = 1 remainder 40 |
| 3 | 124 ÷ 40 = 3 remainder 4 |
| 4 | 40 ÷ 4 = 10 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 39 and 164 | 6396 |
| 47 and 60 | 2820 |
| 19 and 45 | 855 |
| 20 and 90 | 180 |
| 120 and 97 | 11640 |