Least Common Multiple (LCM) of 153 and 161
The least common multiple (LCM) of 153 and 161 is 24633.
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 161?
First, calculate the GCD of 153 and 161 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 153 ÷ 161 = 0 remainder 153 |
| 2 | 161 ÷ 153 = 1 remainder 8 |
| 3 | 153 ÷ 8 = 19 remainder 1 |
| 4 | 8 ÷ 1 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 102 and 198 | 3366 |
| 59 and 97 | 5723 |
| 196 and 120 | 5880 |
| 120 and 80 | 240 |
| 172 and 149 | 25628 |