Least Common Multiple (LCM) of 164 and 58
The least common multiple (LCM) of 164 and 58 is 4756.
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 164 and 58?
First, calculate the GCD of 164 and 58 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 164 ÷ 58 = 2 remainder 48 |
| 2 | 58 ÷ 48 = 1 remainder 10 |
| 3 | 48 ÷ 10 = 4 remainder 8 |
| 4 | 10 ÷ 8 = 1 remainder 2 |
| 5 | 8 ÷ 2 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 10 and 188 | 940 |
| 150 and 80 | 1200 |
| 141 and 16 | 2256 |
| 146 and 153 | 22338 |
| 148 and 63 | 9324 |