Least Common Multiple (LCM) of 160 and 91
The least common multiple (LCM) of 160 and 91 is 14560.
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 91?
First, calculate the GCD of 160 and 91 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 160 ÷ 91 = 1 remainder 69 |
| 2 | 91 ÷ 69 = 1 remainder 22 |
| 3 | 69 ÷ 22 = 3 remainder 3 |
| 4 | 22 ÷ 3 = 7 remainder 1 |
| 5 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 101 and 134 | 13534 |
| 56 and 134 | 3752 |
| 131 and 131 | 131 |
| 54 and 54 | 54 |
| 131 and 93 | 12183 |