Least Common Multiple (LCM) of 153 and 57
The least common multiple (LCM) of 153 and 57 is 2907.
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 153 and 57?
First, calculate the GCD of 153 and 57 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 153 ÷ 57 = 2 remainder 39 |
| 2 | 57 ÷ 39 = 1 remainder 18 |
| 3 | 39 ÷ 18 = 2 remainder 3 |
| 4 | 18 ÷ 3 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 189 and 178 | 33642 |
| 92 and 46 | 92 |
| 132 and 46 | 3036 |
| 164 and 148 | 6068 |
| 83 and 108 | 8964 |