Least Common Multiple (LCM) of 168 and 153
The least common multiple (LCM) of 168 and 153 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 168 and 153?
First, calculate the GCD of 168 and 153 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 168 ÷ 153 = 1 remainder 15 |
| 2 | 153 ÷ 15 = 10 remainder 3 |
| 3 | 15 ÷ 3 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 120 and 71 | 8520 |
| 122 and 84 | 5124 |
| 55 and 88 | 440 |
| 59 and 134 | 7906 |
| 90 and 28 | 1260 |