Least Common Multiple (LCM) of 160 and 147
The least common multiple (LCM) of 160 and 147 is 23520.
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 147?
First, calculate the GCD of 160 and 147 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 160 ÷ 147 = 1 remainder 13 |
| 2 | 147 ÷ 13 = 11 remainder 4 |
| 3 | 13 ÷ 4 = 3 remainder 1 |
| 4 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 31 and 54 | 1674 |
| 100 and 120 | 600 |
| 186 and 23 | 4278 |
| 121 and 109 | 13189 |
| 68 and 134 | 4556 |