Least Common Multiple (LCM) of 152 and 186
The least common multiple (LCM) of 152 and 186 is 14136.
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 186?
First, calculate the GCD of 152 and 186 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 152 ÷ 186 = 0 remainder 152 |
| 2 | 186 ÷ 152 = 1 remainder 34 |
| 3 | 152 ÷ 34 = 4 remainder 16 |
| 4 | 34 ÷ 16 = 2 remainder 2 |
| 5 | 16 ÷ 2 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 43 and 26 | 1118 |
| 42 and 12 | 84 |
| 140 and 122 | 8540 |
| 48 and 149 | 7152 |
| 98 and 171 | 16758 |