Least Common Multiple (LCM) of 117 and 124
The least common multiple (LCM) of 117 and 124 is 14508.
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 117 and 124?
First, calculate the GCD of 117 and 124 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 117 ÷ 124 = 0 remainder 117 |
| 2 | 124 ÷ 117 = 1 remainder 7 |
| 3 | 117 ÷ 7 = 16 remainder 5 |
| 4 | 7 ÷ 5 = 1 remainder 2 |
| 5 | 5 ÷ 2 = 2 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 160 and 158 | 12640 |
| 111 and 162 | 5994 |
| 134 and 128 | 8576 |
| 11 and 189 | 2079 |
| 121 and 106 | 12826 |