Least Common Multiple (LCM) of 160 and 157
The least common multiple (LCM) of 160 and 157 is 25120.
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 157?
First, calculate the GCD of 160 and 157 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 160 ÷ 157 = 1 remainder 3 |
| 2 | 157 ÷ 3 = 52 remainder 1 |
| 3 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 101 and 67 | 6767 |
| 194 and 171 | 33174 |
| 107 and 175 | 18725 |
| 172 and 20 | 860 |
| 18 and 32 | 288 |