Least Common Multiple (LCM) of 160 and 137
The least common multiple (LCM) of 160 and 137 is 21920.
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 137?
First, calculate the GCD of 160 and 137 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 160 ÷ 137 = 1 remainder 23 |
| 2 | 137 ÷ 23 = 5 remainder 22 |
| 3 | 23 ÷ 22 = 1 remainder 1 |
| 4 | 22 ÷ 1 = 22 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 105 and 146 | 15330 |
| 64 and 76 | 1216 |
| 187 and 116 | 21692 |
| 24 and 122 | 1464 |
| 145 and 20 | 580 |