Least Common Multiple (LCM) of 150 and 124
The least common multiple (LCM) of 150 and 124 is 9300.
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 150 and 124?
First, calculate the GCD of 150 and 124 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 150 ÷ 124 = 1 remainder 26 |
| 2 | 124 ÷ 26 = 4 remainder 20 |
| 3 | 26 ÷ 20 = 1 remainder 6 |
| 4 | 20 ÷ 6 = 3 remainder 2 |
| 5 | 6 ÷ 2 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 144 and 85 | 12240 |
| 167 and 186 | 31062 |
| 12 and 108 | 108 |
| 65 and 58 | 3770 |
| 99 and 36 | 396 |