Least Common Multiple (LCM) of 138 and 184
The least common multiple (LCM) of 138 and 184 is 552.
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 138 and 184?
First, calculate the GCD of 138 and 184 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 138 ÷ 184 = 0 remainder 138 |
| 2 | 184 ÷ 138 = 1 remainder 46 |
| 3 | 138 ÷ 46 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 108 and 89 | 9612 |
| 118 and 133 | 15694 |
| 50 and 178 | 4450 |
| 53 and 54 | 2862 |
| 193 and 71 | 13703 |