Least Common Multiple (LCM) of 149 and 124
The least common multiple (LCM) of 149 and 124 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 149 and 124?
First, calculate the GCD of 149 and 124 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 149 ÷ 124 = 1 remainder 25 |
| 2 | 124 ÷ 25 = 4 remainder 24 |
| 3 | 25 ÷ 24 = 1 remainder 1 |
| 4 | 24 ÷ 1 = 24 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 106 and 137 | 14522 |
| 73 and 174 | 12702 |
| 21 and 65 | 1365 |
| 150 and 123 | 6150 |
| 34 and 140 | 2380 |