Least Common Multiple (LCM) of 147 and 123
The least common multiple (LCM) of 147 and 123 is 6027.
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 147 and 123?
First, calculate the GCD of 147 and 123 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 147 ÷ 123 = 1 remainder 24 |
| 2 | 123 ÷ 24 = 5 remainder 3 |
| 3 | 24 ÷ 3 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 52 and 177 | 9204 |
| 19 and 125 | 2375 |
| 107 and 34 | 3638 |
| 20 and 112 | 560 |
| 191 and 40 | 7640 |