Least Common Multiple (LCM) of 16 and 124
The least common multiple (LCM) of 16 and 124 is 496.
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 16 and 124?
First, calculate the GCD of 16 and 124 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 16 ÷ 124 = 0 remainder 16 |
| 2 | 124 ÷ 16 = 7 remainder 12 |
| 3 | 16 ÷ 12 = 1 remainder 4 |
| 4 | 12 ÷ 4 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 120 and 71 | 8520 |
| 155 and 72 | 11160 |
| 140 and 110 | 1540 |
| 166 and 122 | 10126 |
| 37 and 132 | 4884 |