Least Common Multiple (LCM) of 164 and 79
The least common multiple (LCM) of 164 and 79 is 12956.
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 79?
First, calculate the GCD of 164 and 79 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 164 ÷ 79 = 2 remainder 6 |
| 2 | 79 ÷ 6 = 13 remainder 1 |
| 3 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 195 and 90 | 1170 |
| 53 and 53 | 53 |
| 160 and 75 | 2400 |
| 141 and 57 | 2679 |
| 77 and 170 | 13090 |