Least Common Multiple (LCM) of 160 and 121
The least common multiple (LCM) of 160 and 121 is 19360.
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 121?
First, calculate the GCD of 160 and 121 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 160 ÷ 121 = 1 remainder 39 |
| 2 | 121 ÷ 39 = 3 remainder 4 |
| 3 | 39 ÷ 4 = 9 remainder 3 |
| 4 | 4 ÷ 3 = 1 remainder 1 |
| 5 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 63 and 30 | 630 |
| 23 and 101 | 2323 |
| 172 and 21 | 3612 |
| 131 and 11 | 1441 |
| 90 and 97 | 8730 |