Least Common Multiple (LCM) of 160 and 149
The least common multiple (LCM) of 160 and 149 is 23840.
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 149?
First, calculate the GCD of 160 and 149 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 160 ÷ 149 = 1 remainder 11 |
| 2 | 149 ÷ 11 = 13 remainder 6 |
| 3 | 11 ÷ 6 = 1 remainder 5 |
| 4 | 6 ÷ 5 = 1 remainder 1 |
| 5 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 165 and 154 | 2310 |
| 69 and 19 | 1311 |
| 161 and 136 | 21896 |
| 119 and 44 | 5236 |
| 194 and 197 | 38218 |