Least Common Multiple (LCM) of 164 and 91
The least common multiple (LCM) of 164 and 91 is 14924.
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 91?
First, calculate the GCD of 164 and 91 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 164 ÷ 91 = 1 remainder 73 |
| 2 | 91 ÷ 73 = 1 remainder 18 |
| 3 | 73 ÷ 18 = 4 remainder 1 |
| 4 | 18 ÷ 1 = 18 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 119 and 90 | 10710 |
| 43 and 74 | 3182 |
| 199 and 189 | 37611 |
| 35 and 165 | 1155 |
| 174 and 160 | 13920 |