Least Common Multiple (LCM) of 124 and 123
The least common multiple (LCM) of 124 and 123 is 15252.
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 123?
First, calculate the GCD of 124 and 123 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 124 ÷ 123 = 1 remainder 1 |
| 2 | 123 ÷ 1 = 123 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 187 and 110 | 1870 |
| 136 and 90 | 6120 |
| 149 and 143 | 21307 |
| 77 and 121 | 847 |
| 148 and 182 | 13468 |