Least Common Multiple (LCM) of 160 and 29
The least common multiple (LCM) of 160 and 29 is 4640.
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 29?
First, calculate the GCD of 160 and 29 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 160 ÷ 29 = 5 remainder 15 |
| 2 | 29 ÷ 15 = 1 remainder 14 |
| 3 | 15 ÷ 14 = 1 remainder 1 |
| 4 | 14 ÷ 1 = 14 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 140 and 26 | 1820 |
| 105 and 108 | 3780 |
| 51 and 23 | 1173 |
| 152 and 49 | 7448 |
| 194 and 122 | 11834 |