Least Common Multiple (LCM) of 160 and 153
The least common multiple (LCM) of 160 and 153 is 24480.
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 160 and 153?
First, calculate the GCD of 160 and 153 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 160 ÷ 153 = 1 remainder 7 |
| 2 | 153 ÷ 7 = 21 remainder 6 |
| 3 | 7 ÷ 6 = 1 remainder 1 |
| 4 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 49 and 170 | 8330 |
| 167 and 190 | 31730 |
| 26 and 28 | 364 |
| 155 and 160 | 4960 |
| 179 and 15 | 2685 |