Least Common Multiple (LCM) of 364 and 2
The least common multiple (LCM) of 364 and 2 is 364.
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 364 and 2?
First, calculate the GCD of 364 and 2 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 364 ÷ 2 = 182 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 150 and 139 | 20850 |
| 48 and 12 | 48 |
| 143 and 15 | 2145 |
| 153 and 96 | 4896 |
| 61 and 25 | 1525 |