Least Common Multiple (LCM) of 147 and 160
The least common multiple (LCM) of 147 and 160 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 147 and 160?
First, calculate the GCD of 147 and 160 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 147 ÷ 160 = 0 remainder 147 |
| 2 | 160 ÷ 147 = 1 remainder 13 |
| 3 | 147 ÷ 13 = 11 remainder 4 |
| 4 | 13 ÷ 4 = 3 remainder 1 |
| 5 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 30 and 32 | 480 |
| 117 and 197 | 23049 |
| 111 and 178 | 19758 |
| 59 and 110 | 6490 |
| 125 and 154 | 19250 |