Least Common Multiple (LCM) of 160 and 187
The least common multiple (LCM) of 160 and 187 is 29920.
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 187?
First, calculate the GCD of 160 and 187 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 160 ÷ 187 = 0 remainder 160 |
| 2 | 187 ÷ 160 = 1 remainder 27 |
| 3 | 160 ÷ 27 = 5 remainder 25 |
| 4 | 27 ÷ 25 = 1 remainder 2 |
| 5 | 25 ÷ 2 = 12 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 75 and 178 | 13350 |
| 34 and 166 | 2822 |
| 124 and 121 | 15004 |
| 20 and 97 | 1940 |
| 111 and 78 | 2886 |