Least Common Multiple (LCM) of 153 and 164
The least common multiple (LCM) of 153 and 164 is 25092.
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 164?
First, calculate the GCD of 153 and 164 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 153 ÷ 164 = 0 remainder 153 |
| 2 | 164 ÷ 153 = 1 remainder 11 |
| 3 | 153 ÷ 11 = 13 remainder 10 |
| 4 | 11 ÷ 10 = 1 remainder 1 |
| 5 | 10 ÷ 1 = 10 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 12 and 16 | 48 |
| 183 and 113 | 20679 |
| 194 and 31 | 6014 |
| 30 and 36 | 180 |
| 98 and 69 | 6762 |