Least Common Multiple (LCM) of 153 and 168
The least common multiple (LCM) of 153 and 168 is 8568.
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 168?
First, calculate the GCD of 153 and 168 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 153 ÷ 168 = 0 remainder 153 |
| 2 | 168 ÷ 153 = 1 remainder 15 |
| 3 | 153 ÷ 15 = 10 remainder 3 |
| 4 | 15 ÷ 3 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 84 and 185 | 15540 |
| 128 and 163 | 20864 |
| 115 and 178 | 20470 |
| 154 and 184 | 14168 |
| 68 and 141 | 9588 |