Least Common Multiple (LCM) of 153 and 199
The least common multiple (LCM) of 153 and 199 is 30447.
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 199?
First, calculate the GCD of 153 and 199 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 153 ÷ 199 = 0 remainder 153 |
| 2 | 199 ÷ 153 = 1 remainder 46 |
| 3 | 153 ÷ 46 = 3 remainder 15 |
| 4 | 46 ÷ 15 = 3 remainder 1 |
| 5 | 15 ÷ 1 = 15 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 137 and 196 | 26852 |
| 167 and 185 | 30895 |
| 123 and 147 | 6027 |
| 64 and 150 | 4800 |
| 185 and 61 | 11285 |