Least Common Multiple (LCM) of 124 and 106
The least common multiple (LCM) of 124 and 106 is 6572.
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 106?
First, calculate the GCD of 124 and 106 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 124 ÷ 106 = 1 remainder 18 |
| 2 | 106 ÷ 18 = 5 remainder 16 |
| 3 | 18 ÷ 16 = 1 remainder 2 |
| 4 | 16 ÷ 2 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 117 and 103 | 12051 |
| 175 and 160 | 5600 |
| 128 and 70 | 4480 |
| 37 and 54 | 1998 |
| 101 and 153 | 15453 |