Least Common Multiple (LCM) of 189 and 153
The least common multiple (LCM) of 189 and 153 is 3213.
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 189 and 153?
First, calculate the GCD of 189 and 153 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 189 ÷ 153 = 1 remainder 36 |
| 2 | 153 ÷ 36 = 4 remainder 9 |
| 3 | 36 ÷ 9 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 75 and 16 | 1200 |
| 115 and 112 | 12880 |
| 62 and 39 | 2418 |
| 164 and 132 | 5412 |
| 151 and 42 | 6342 |