Least Common Multiple (LCM) of 164 and 36
The least common multiple (LCM) of 164 and 36 is 1476.
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 36?
First, calculate the GCD of 164 and 36 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 164 ÷ 36 = 4 remainder 20 |
| 2 | 36 ÷ 20 = 1 remainder 16 |
| 3 | 20 ÷ 16 = 1 remainder 4 |
| 4 | 16 ÷ 4 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 104 and 118 | 6136 |
| 159 and 125 | 19875 |
| 113 and 38 | 4294 |
| 180 and 142 | 12780 |
| 49 and 187 | 9163 |