Least Common Multiple (LCM) of 124 and 67
The least common multiple (LCM) of 124 and 67 is 8308.
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 67?
First, calculate the GCD of 124 and 67 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 124 ÷ 67 = 1 remainder 57 |
| 2 | 67 ÷ 57 = 1 remainder 10 |
| 3 | 57 ÷ 10 = 5 remainder 7 |
| 4 | 10 ÷ 7 = 1 remainder 3 |
| 5 | 7 ÷ 3 = 2 remainder 1 |
| 6 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 143 and 36 | 5148 |
| 191 and 124 | 23684 |
| 29 and 114 | 3306 |
| 128 and 171 | 21888 |
| 32 and 150 | 2400 |