Least Common Multiple (LCM) of 37 and 163
The least common multiple (LCM) of 37 and 163 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 37 and 163?
First, calculate the GCD of 37 and 163 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 37 ÷ 163 = 0 remainder 37 |
| 2 | 163 ÷ 37 = 4 remainder 15 |
| 3 | 37 ÷ 15 = 2 remainder 7 |
| 4 | 15 ÷ 7 = 2 remainder 1 |
| 5 | 7 ÷ 1 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 154 and 175 | 3850 |
| 51 and 101 | 5151 |
| 120 and 31 | 3720 |
| 106 and 120 | 6360 |
| 108 and 141 | 5076 |