Least Common Multiple (LCM) of 124 and 111
The least common multiple (LCM) of 124 and 111 is 13764.
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 111?
First, calculate the GCD of 124 and 111 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 124 ÷ 111 = 1 remainder 13 |
| 2 | 111 ÷ 13 = 8 remainder 7 |
| 3 | 13 ÷ 7 = 1 remainder 6 |
| 4 | 7 ÷ 6 = 1 remainder 1 |
| 5 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 175 and 58 | 10150 |
| 133 and 98 | 1862 |
| 147 and 109 | 16023 |
| 108 and 68 | 1836 |
| 157 and 139 | 21823 |