Least Common Multiple (LCM) of 163 and 37
The least common multiple (LCM) of 163 and 37 is 6031.
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 163 and 37?
First, calculate the GCD of 163 and 37 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 163 ÷ 37 = 4 remainder 15 |
| 2 | 37 ÷ 15 = 2 remainder 7 |
| 3 | 15 ÷ 7 = 2 remainder 1 |
| 4 | 7 ÷ 1 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 140 and 51 | 7140 |
| 197 and 195 | 38415 |
| 155 and 152 | 23560 |
| 129 and 126 | 5418 |
| 72 and 109 | 7848 |