Least Common Multiple (LCM) of 164 and 95
The least common multiple (LCM) of 164 and 95 is 15580.
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 95?
First, calculate the GCD of 164 and 95 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 164 ÷ 95 = 1 remainder 69 |
| 2 | 95 ÷ 69 = 1 remainder 26 |
| 3 | 69 ÷ 26 = 2 remainder 17 |
| 4 | 26 ÷ 17 = 1 remainder 9 |
| 5 | 17 ÷ 9 = 1 remainder 8 |
| 6 | 9 ÷ 8 = 1 remainder 1 |
| 7 | 8 ÷ 1 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 100 and 128 | 3200 |
| 45 and 113 | 5085 |
| 91 and 190 | 17290 |
| 118 and 61 | 7198 |
| 103 and 64 | 6592 |