Least Common Multiple (LCM) of 123 and 153
The least common multiple (LCM) of 123 and 153 is 6273.
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 123 and 153?
First, calculate the GCD of 123 and 153 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 123 ÷ 153 = 0 remainder 123 |
| 2 | 153 ÷ 123 = 1 remainder 30 |
| 3 | 123 ÷ 30 = 4 remainder 3 |
| 4 | 30 ÷ 3 = 10 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 174 and 100 | 8700 |
| 174 and 63 | 3654 |
| 65 and 150 | 1950 |
| 129 and 50 | 6450 |
| 87 and 85 | 7395 |