Least Common Multiple (LCM) of 186 and 57
The least common multiple (LCM) of 186 and 57 is 3534.
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 186 and 57?
First, calculate the GCD of 186 and 57 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 186 ÷ 57 = 3 remainder 15 |
| 2 | 57 ÷ 15 = 3 remainder 12 |
| 3 | 15 ÷ 12 = 1 remainder 3 |
| 4 | 12 ÷ 3 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 196 and 160 | 7840 |
| 88 and 109 | 9592 |
| 120 and 191 | 22920 |
| 42 and 47 | 1974 |
| 48 and 33 | 528 |