Least Common Multiple (LCM) of 164 and 134
The least common multiple (LCM) of 164 and 134 is 10988.
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 134?
First, calculate the GCD of 164 and 134 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 164 ÷ 134 = 1 remainder 30 |
| 2 | 134 ÷ 30 = 4 remainder 14 |
| 3 | 30 ÷ 14 = 2 remainder 2 |
| 4 | 14 ÷ 2 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 137 and 96 | 13152 |
| 153 and 109 | 16677 |
| 46 and 57 | 2622 |
| 161 and 42 | 966 |
| 91 and 107 | 9737 |