Least Common Multiple (LCM) of 153 and 87
The least common multiple (LCM) of 153 and 87 is 4437.
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 87?
First, calculate the GCD of 153 and 87 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 153 ÷ 87 = 1 remainder 66 |
| 2 | 87 ÷ 66 = 1 remainder 21 |
| 3 | 66 ÷ 21 = 3 remainder 3 |
| 4 | 21 ÷ 3 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 124 and 65 | 8060 |
| 177 and 120 | 7080 |
| 21 and 109 | 2289 |
| 186 and 24 | 744 |
| 49 and 128 | 6272 |