Least Common Multiple (LCM) of 124 and 149
The least common multiple (LCM) of 124 and 149 is 18476.
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 149?
First, calculate the GCD of 124 and 149 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 124 ÷ 149 = 0 remainder 124 |
| 2 | 149 ÷ 124 = 1 remainder 25 |
| 3 | 124 ÷ 25 = 4 remainder 24 |
| 4 | 25 ÷ 24 = 1 remainder 1 |
| 5 | 24 ÷ 1 = 24 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 108 and 188 | 5076 |
| 178 and 166 | 14774 |
| 76 and 131 | 9956 |
| 29 and 107 | 3103 |
| 123 and 76 | 9348 |