Least Common Multiple (LCM) of 153 and 163
The least common multiple (LCM) of 153 and 163 is 24939.
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 153 and 163?
First, calculate the GCD of 153 and 163 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 153 ÷ 163 = 0 remainder 153 |
| 2 | 163 ÷ 153 = 1 remainder 10 |
| 3 | 153 ÷ 10 = 15 remainder 3 |
| 4 | 10 ÷ 3 = 3 remainder 1 |
| 5 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 12 and 56 | 168 |
| 24 and 160 | 480 |
| 34 and 113 | 3842 |
| 12 and 96 | 96 |
| 67 and 157 | 10519 |