Least Common Multiple (LCM) of 121 and 124
The least common multiple (LCM) of 121 and 124 is 15004.
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 121 and 124?
First, calculate the GCD of 121 and 124 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 121 ÷ 124 = 0 remainder 121 |
| 2 | 124 ÷ 121 = 1 remainder 3 |
| 3 | 121 ÷ 3 = 40 remainder 1 |
| 4 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 198 and 64 | 6336 |
| 188 and 133 | 25004 |
| 94 and 135 | 12690 |
| 48 and 143 | 6864 |
| 164 and 125 | 20500 |