Least Common Multiple (LCM) of 152 and 184
The least common multiple (LCM) of 152 and 184 is 3496.
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 152 and 184?
First, calculate the GCD of 152 and 184 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 152 ÷ 184 = 0 remainder 152 |
| 2 | 184 ÷ 152 = 1 remainder 32 |
| 3 | 152 ÷ 32 = 4 remainder 24 |
| 4 | 32 ÷ 24 = 1 remainder 8 |
| 5 | 24 ÷ 8 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 114 and 120 | 2280 |
| 102 and 166 | 8466 |
| 61 and 103 | 6283 |
| 76 and 189 | 14364 |
| 143 and 54 | 7722 |