Least Common Multiple (LCM) of 124 and 45
The least common multiple (LCM) of 124 and 45 is 5580.
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 45?
First, calculate the GCD of 124 and 45 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 124 ÷ 45 = 2 remainder 34 |
| 2 | 45 ÷ 34 = 1 remainder 11 |
| 3 | 34 ÷ 11 = 3 remainder 1 |
| 4 | 11 ÷ 1 = 11 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 110 and 193 | 21230 |
| 159 and 50 | 7950 |
| 12 and 71 | 852 |
| 69 and 129 | 2967 |
| 105 and 40 | 840 |