Least Common Multiple (LCM) of 151 and 160
The least common multiple (LCM) of 151 and 160 is 24160.
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 151 and 160?
First, calculate the GCD of 151 and 160 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 151 ÷ 160 = 0 remainder 151 |
| 2 | 160 ÷ 151 = 1 remainder 9 |
| 3 | 151 ÷ 9 = 16 remainder 7 |
| 4 | 9 ÷ 7 = 1 remainder 2 |
| 5 | 7 ÷ 2 = 3 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 40 and 47 | 1880 |
| 70 and 150 | 1050 |
| 114 and 164 | 9348 |
| 34 and 39 | 1326 |
| 35 and 13 | 455 |